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Ross Dynamics Lab

Bifurcation Theory - Saddle-Node, Hopf, Transcritical, Pitchfork

2 rewiews
Explore saddle-node, transcritical, pitchfork, and Hopf bifurcations in dynamical systems. Learn how these phenomena affect phase portraits and system behavior as parameters change.
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7 Lesons
1 hour 17 minutes
On-Demand
Free-Video
Steve Brunton

Data-Driven Science and Engineering

1 rewiews
Explora técnicas avanzadas de aprendizaje automático, sistemas dinámicos y control con ejemplos prácticos en Matlab y Python, basados en el libro "Data-Driven Science and Engineering" de Brunton y Kutz.
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98 Lesons
20 hours
On-Demand
Free-Video
Steve Brunton

Control Bootcamp - Kalman Filter Example in Matlab

1 rewiews
Explore Kalman Filter implementation on inverted pendulum using Matlab, covering theory and practical application in dynamical systems and control engineering.
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7 Lesons
22 minutes
On-Demand
Free-Video
Alan Turing Institute

Engineering the Future of Medicine - The Turing Lectures

1 rewiews
Explore cutting-edge machine learning applications in biomedical data interpretation, from cellular analysis to surgical skill assessment, with renowned engineer René Vidal.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Massachusetts Institute of Technology

Underactuated Robotics - Spring 2009

0 rewiews
This course discusses nonlinear dynamics and control of underactuated mechanical systems, with an emphasis on machine learning methods.
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23 Lesons
1 day 4 hours
On-Demand
Free-Video
University of Washington

Engineering Mathematics

0 rewiews
Explora matemáticas avanzadas en ingeniería mecánica, desde ODEs y sistemas dinámicos hasta transformadas de Fourier y Laplace, con aplicaciones prácticas en Matlab y análisis de sistemas no lineales.
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59 Lesons
1 day 23 hours
On-Demand
Free-Video
NPTEL

Topics in Nonlinear Dynamics

0 rewiews
Explore nonlinear dynamics through critical points, Hamiltonian systems, bifurcations, limit cycles, discrete-time dynamics, and stochastic processes. Gain insights into complex system behaviors and analysis techniques.
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29 Lesons
1 day 5 hours
On-Demand
Free-Video
NPTEL

Topics in Nonlinear Dynamics

0 rewiews
This is a basic course in classical mechanics at the senior undergraduate/ master's level. It covers the standard topics in this subject, including the Lagrangian and Hamiltonian formalisms. It also places the subject in the broader context of classical…
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29 Lesons
1 day 5 hours
On-Demand
Free-Video
Cornell University

Nonlinear Dynamics and Chaos

0 rewiews
Explore nonlinear dynamics and chaos through analytical methods, examples, and applications in physics, biology, and engineering. Develop mathematical theory and gain insights into complex systems behavior.
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25 Lesons
1 day 6 hours
On-Demand
Free-Video
Santa Fe Institute

Exponentials, Economics, and Ecology with David Krakauer

0 rewiews
Explore exponential changes, nonlinear dynamics, and interconnected systems in ecology and economics. Gain insights on aligning individual and public good in a complex world.
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12 Lesons
47 minutes
On-Demand
Free-Video
Santa Fe Institute

Demonology - Intelligence in Physics & Biology

0 rewiews
Explore the historical role of intelligence in physics and biology, from Laplace's demon to modern information theory, and its implications for understanding natural phenomena.
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27 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Santa Fe Institute

A Framework for Machine Learning of Model Error in Dynamical Systems

0 rewiews
Explore a framework for machine learning to model error in dynamical systems, focusing on linear oscillators, partial information, and hybrid modeling techniques.
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16 Lesons
54 minutes
On-Demand
Free-Video
Santa Fe Institute

Transient Dynamics - The Key to Ecological Understanding - Alan Hastings, SFI + UC Davis

0 rewiews
Explore transient dynamics in ecology, challenging classical theory focused on long-term behavior. Examine implications for modeling, management, and understanding complex ecological systems.
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12 Lesons
1 hour
On-Demand
Free-Video
Santa Fe Institute

The Power of Temporal Networks

0 rewiews
Explore how time-varying networks offer advantages in controllability, cooperation, and synchronization, challenging traditional views on network analysis and dynamics.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Santa Fe Institute

Using Curvature to Understand the Structure of Dynamics

0 rewiews
Explore curvature's role in understanding attractor dynamics and its application in time-series data reconstruction, focusing on optimal time-delay parameter selection for delay-coordinate embeddings.
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1 Lesons
40 minutes
On-Demand
Free-Video
Santa Fe Institute

The Statue in the Stone: How Dynamical Systems Discover Environmental Patterns

0 rewiews
Explores how complex systems adapt to environmental patterns, favoring stable configurations that match external forces. Illustrates with toy models and swarm-robotics experiment.
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1 Lesons
59 minutes
On-Demand
Free-Video
Santa Fe Institute

Loss of Self-Organization in Earth's Climate

0 rewiews
Análisis de cambios en la autorregulación del clima terrestre mediante herramientas de sistemas complejos, comparando datos de temperatura global con el modelo Daisyworld.
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18 Lesons
58 minutes
On-Demand
Free-Video
Santa Fe Institute

The Dynamics of Computation and the Computational Power of Dynamics

0 rewiews
Explore the intersection of computation and dynamics, examining computational models, physical systems, and mathematical concepts to understand the nature of computation and its manifestation in various forms.
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20 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Santa Fe Institute

The Thermodynamics of Communication - Exploring Energy and Information Limits

0 rewiews
Exploring the fundamental relationship between energy, information, and matter in communication processes. Discusses nonlinear dynamics of communication channels and their implications for collective intelligence and limits to human knowledge.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Santa Fe Institute

Nonlinear Dynamics of Beliefs over Social Networks

0 rewiews
Explore how social networks, internal biases, and belief systems shape group dynamics and decision-making in complex social environments.
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1 Lesons
59 minutes
On-Demand
Free-Video
Santa Fe Institute

What is Lyfe? Towards a Biology of Context and Complexity

0 rewiews
Exploring a multidimensional view of biology beyond genomics, emphasizing history, context, environment, and narrative to reframe our understanding of life and its complexities.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
University of Houston-Clear Lake

How Is the Landscape Upon Which Life Evolves Selected - Spontaneous Emergence of Modularity

0 rewiews
Explore the emergence of modularity in biology, its impact on evolution, and connections to environmental variability through advanced physics concepts and experimental insights.
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17 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)

Computing with Dynamical Systems - From Implementations Towards Novel Concepts

0 rewiews
Explore dynamical systems in computing, from practical implementations to cutting-edge concepts. Gain insights into complex systems and interdisciplinary physics applications.
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1 Lesons
57 minutes
On-Demand
Free-Video
The Julia Programming Language

Fast, Elegant, Set-oriented Numerical Analysis Using GAIO.jl

0 rewiews
Explore GAIO.jl for fast, elegant set-oriented numerical analysis in Julia. Learn to compute attractors, leverage multiple dispatch, and utilize GPU acceleration for enhanced performance.
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1 Lesons
27 minutes
On-Demand
Free-Video
Fields Institute

A Method to Coarse-Grain Multi-Agent Stochastic Systems with Regions of Multistability

0 rewiews
Dive into a mathematical oncology seminar exploring coarse-graining techniques for multi-agent stochastic systems, focusing on regions of multistability in cancer modeling.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Kavli Institute for Theoretical Physics

Nonlinear Dynamics of Active Solids Through Nonreciprocal Mechanochemical Feedback

0 rewiews
Explore nonlinear dynamics of active solids through nonreciprocal mechanochemical feedback. Gain insights into collective phenomena in energy-consuming systems and their applications in various fields.
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1 Lesons
44 minutes
On-Demand
Free-Video
The Julia Programming Language

Attractors.jl - Next-Gen Multi-Stability Analysis for Dynamical Systems

0 rewiews
Explore next-gen stability analysis in dynamical systems with Attractors.jl. Discover multistability detection, global stability quantification, and extendable interfaces for advanced applications in Julia.
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1 Lesons
33 minutes
On-Demand
Free-Video
Simons Institute

Generalization in Robotic Behavior Cloning: Pitfalls and Promises

0 rewiews
Explore challenges and solutions in robotic behavior cloning, focusing on generalization in continuous state/action spaces. Gain insights into frameworks enabling agents to imitate complex behaviors with provable guarantees.
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1 Lesons
53 minutes
On-Demand
Free-Video
MonteHeart Lectures

Bifurcations - Troubleshooting

0 rewiews
Enhance your knowledge of bifurcations and their troubleshooting techniques in this insightful lecture on complex systems analysis.
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1 Lesons
49 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

A Descriptive Approach to Pointwise Ergodic Theorems

0 rewiews
Dive into a descriptive approach to pointwise ergodic theorems, exploring their applications in dynamical systems, probability, and number theory.
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1 Lesons
1 hour
On-Demand
Free-Video
University of Chicago Department of Mathematics

Anosov Flows on 3-Manifolds

0 rewiews
Dive into Anosov flows on 3-manifolds, exploring their chaotic yet stable nature, classification challenges, and recent advancements in low-dimensional geometric topology.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

Semiclassical Measures for Laplacian Eigenfunctions and Quantum Cat Maps

0 rewiews
Dive into semiclassical measures for Laplacian eigenfunctions and quantum cat maps, exploring quantum chaos and high-energy limit behavior in mathematics.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Dimension of Stationary Measures - Lecture 3

0 rewiews
Delve into the dimension of stationary measures in random walks on matrix groups, exploring flag spaces, Oseledets measures, and configuration space dynamics. Gain insights into entropy and dimension addition.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Methods for Studying Abelian Actions and Centralizers - Lecture 4

0 rewiews
Explore partially hyperbolic conservative dynamics, focusing on volume disintegration along foliations and the relationship between large centralizers and pathological center foliations.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Renormalization in Dimension Two - Lecture 1

0 rewiews
Explore renormalization theory in two-dimensional dynamical systems, extending techniques from one-dimensional cases to higher dimensions using non-uniformly partially hyperbolic systems.
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1 Lesons
38 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Non-hyperbolic Measures of Maximally Possible Entropy in Transitive Dynamical Systems

0 rewiews
Explore the dynamics of nonhyperbolic partially hyperbolic diffeomorphisms, focusing on skew products of circle diffeomorphisms and their implications for ergodic measures and entropy in dynamical systems.
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1 Lesons
52 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Volume Entropy for Flat Surfaces

0 rewiews
Explore volume entropy in flat surfaces, its relation to negative curvature surfaces, and its minimum value on SL(2,R)-orbits in specific cases.
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1 Lesons
56 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Methods for Studying Abelian Actions and Centralizers - Lecture 5: Transitive Centralizer and Fibered Partially Hyperbolic Systems

0 rewiews
Explore transitive centralizers and fibered partially hyperbolic systems in dynamical systems. Gain insights into advanced concepts in smooth ergodic theory and their applications to centralizer rigidity.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Chain Recurrence Classes of Generic Diffeomorphisms - Lecture 1

0 rewiews
Dive into chain recurrence classes of generic diffeomorphisms, exploring advanced concepts in dynamical systems and topology.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Dimension of Stationary Measures in Random Walks on Matrix Groups - Lecture Series

0 rewiews
Explore the dimension of stationary measures in random walks, focusing on matrix group actions over flag spaces. Gain insights into exact dimensions, partial answers, and the intricate structure of flag spaces.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Metric and Ergodic Properties of Partially Hyperbolic Diffeomorphisms with Topological Neutral Center

0 rewiews
Explore metric and ergodic properties of partially hyperbolic diffeomorphisms with topological neutral center. Gain insights into recent findings, including a dichotomy between atomicity and the Bernoulli property.
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1 Lesons
56 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Infinite Renormalizability and Non-Uniform Partial Hyperbolicity in Two-Dimensional Dynamical Systems

0 rewiews
Dive into the renormalization theory of dynamical systems, exploring its extension to two-dimensional settings and the concept of infinite renormalizability in diffeomorphisms.
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1 Lesons
56 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Strong Positive Recurrence for Diffeomorphisms

0 rewiews
Explore strong positive recurrence in diffeomorphisms, its implications for entropy-maximizing measures, and its equivalence to Lyapunov exponent continuity. Gain insights into smooth diffeomorphisms on compact surfaces.
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1 Lesons
58 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Birkhoff Sums as Distributions in Dynamical Systems

0 rewiews
Explore Birkhoff sums as distributions in dynamical systems, examining regularity results for hyperbolic systems and applications to deformation theory in one-dimensional dynamical systems.
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1 Lesons
43 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Methods for Studying Abelian Actions and Centralizers - Lecture 3

0 rewiews
Explore two methods for studying abelian actions and centralizers: linearization and non-linearization. Delve into cohomology concepts and their applications in dynamical systems analysis.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Dimension of Stationary Measures - Lecture 2

0 rewiews
Explore the dimension of stationary measures in random walks, focusing on matrix group actions over flag spaces. Gain insights into exact dimensions, partial answers, and the intricate structure of flag spaces.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Dimension of Stationary Measures - Lecture 4

0 rewiews
Delve into the dimension of stationary measures in random walks on matrix groups, exploring flag spaces, Oseledets measures, and configuration space dynamics.
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1 Lesons
52 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Methods for Studying Abelian Actions and Centralizers - Lecture 6

0 rewiews
Explore centralizer rigidity and classification in accessible examples of dynamical systems. Gain insights into the non-generic situations where smooth centralizers form larger groups, particularly in algebraic systems.
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1 Lesons
1 hour
On-Demand
Free-Video
Simons Semester on Dynamics

Spectrum Rigidity and Joint Integrability for Anosov Systems on Tori - Lecture 4

0 rewiews
Delve into spectrum rigidity and joint integrability for Anosov systems on tori. Explore topological conjugacy of non-invertible Anosov maps on 2-torus and its implications for smooth conjugacy along stable foliations.
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1 Lesons
56 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Newhouse Phenomenon in the Complex Hénon Family

0 rewiews
Explore the Newhouse phenomenon in complex Hénon maps, focusing on stable homoclinic tangencies and intersections between dynamical Cantor sets generated by conformal IFSs.
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1 Lesons
45 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Spectrum Rigidity and Joint Integrability for Anosov Systems on Tori - Lecture 3

0 rewiews
Delve into spectrum rigidity and joint integrability for Anosov systems on tori. Explore the equivalence between geometric rigidity and dynamical spectral rigidity in Anosov diffeomorphisms, focusing on irreducible cases with split stable bundles.
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1 Lesons
58 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lecture 5

0 rewiews
Explore the control of Lyapunov exponents using entropy in smooth surface diffeomorphisms. Gain insights into recent research on expansion of smooth unstable curves and their relation to homoclinic tangencies.
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1 Lesons
59 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lecture 7

0 rewiews
Explore the control of Lyapunov exponents using entropy in smooth surface diffeomorphisms. Gain insights into recent research on expansion of smooth unstable curves and their relation to homoclinic tangencies.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Structural Stability for Fibrewise Anosov Diffeomorphisms on Principal Torus Bundles

0 rewiews
Explore structural stability for fibrewise Anosov diffeomorphisms on principal torus bundles, focusing on topological conjugacy and linear fiber mappings.
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1 Lesons
44 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Robustly Transitive Endomorphisms and Strong Volume Expansion for Toral Endomorphisms

0 rewiews
Dive into robust transitivity criteria for partially hyperbolic endomorphisms on the two-torus, exploring Blichfedt's theorem and its applications in dynamical systems.
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1 Lesons
49 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Counting Periodic Orbits of One-Dimensional Maps - Lecture 1

0 rewiews
Dive into the fascinating world of periodic orbits in one-dimensional maps. Explore connections to number theory and thermodynamic formalism, starting with Milnor and Thurston's work on interval maps.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Counting Periodic Orbits of One-Dimensional Maps - Lecture 3

0 rewiews
Delve into the mathematics of counting periodic orbits in one-dimensional maps. Explore connections to number theory, thermodynamic formalism, and the prime orbit theorem for hyperbolic systems.
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1 Lesons
1 hour 33 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

When Topology Forces Dynamics - Lecture 2

0 rewiews
Explore the interplay between topology and dynamics, uncovering how topological considerations reveal crucial insights into system behavior and stability under perturbations.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Typical Properties of Lebesgue Measure-Preserving Circle Maps

0 rewiews
Explore recent findings on typical dynamical properties of Lebesgue measure-preserving maps, focusing on circle cases. Gain insights into collaborative research on one-dimensional manifolds.
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1 Lesons
50 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents for Smooth Surface Diffeomorphisms - Lectures 1 and 2

0 rewiews
Explore continuity properties of Lyapunov exponents in smooth surface diffeomorphisms. Gain insights into entropy control and its relation to expansion of smooth unstable curves and homoclinic tangencies.
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10 Lesons
1 hour 33 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Rigorous Computer Algorithms for Chaotic Dynamics - Lecture 1

0 rewiews
Dive into rigorous computer algorithms for chaotic dynamics, exploring spectral radius computation and its applications in hyperbolic systems and parameter estimation.
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1 Lesons
1 hour 35 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

When Topology Forces Dynamics - Lecture 1

0 rewiews
Explore topological dynamics, focusing on how topology influences system behavior. Gain insights into fixed point index, Nielsen theory, and homotopy stability theorems.
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29 Lesons
1 hour 35 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Dynamical Approximations of Postsingularly Finite Entire Maps

0 rewiews
Explore dynamical approximations of postsingularly finite entire maps, focusing on maps with finitely many singular values and their global dynamics. Discover connections between approximations, combinatorics, and Teichmuller spaces.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

On Pseudoarc and Dynamics

0 rewiews
Explore the fascinating world of pseudoarc, its topological significance, and its connections to dynamical systems in this insightful lecture by Piotr Oprocha.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Continuity Properties of Lyapunov Exponents - Lectures 3 and 4

0 rewiews
Delve into the continuity properties of Lyapunov exponents in smooth surface diffeomorphisms, exploring entropy control and the impact of near homoclinic tangencies on unstable curve expansion.
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1 Lesons
1 hour 39 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Rigorous Computer Algorithms for Chaotic Dynamics - Lecture 2

0 rewiews
Dive into rigorous computer algorithms for chaotic dynamics, exploring transfer operators, spectral radius computation, and estimating key parameters in hyperbolic systems.
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1 Lesons
1 hour 35 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Measurable Pseudo-Anosovs in Surface Homeomorphisms

0 rewiews
Explore the dynamics of measurable pseudo-Anosov homeomorphisms, their origins in inverse limits of tent maps, and their role in surface homeomorphism dynamics.
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1 Lesons
45 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

The Pruning Front Conjecture, Wandering Domains and Classification of Hénon Maps - Strange Attractors

0 rewiews
Dive into topological dynamics of Hénon maps, exploring kneading theory, strange attractors, and wandering domains within the Wang-Young parameter set.
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1 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Models for Dynamical Systems in Dimensions 1 and 2 - Lecture 1

0 rewiews
Explore dynamical systems in 1D and 2D, focusing on Milnor-Thurston's theorem and its potential 2D analog for surface diffeomorphisms. Delve into connections with Teichmüller Theory and 3-manifold topology.
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1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Counting Periodic Orbits of One-Dimensional Maps - Lecture 2

0 rewiews
Delve into the mathematics of counting periodic orbits in one-dimensional maps. Explore connections to number theory and thermodynamic formalism, focusing on interval and complex rational maps.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Generalized Pseudo-Anosov Maps from Holomorphic Dynamics

0 rewiews
Explore the connection between quadratic polynomial dynamics and surface homeomorphisms, focusing on generalized pseudo-Anosov extensions of Hubbard tree dynamics.
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1 Lesons
29 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Dynamical Complexity in the Rössler System

0 rewiews
Uncover the analytical connection between Rössler equations and the logistic family. Explore periodic orbits, topologies, and complex dynamics in this mathematical exploration of chaotic attractors.
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1 Lesons
51 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Monotonicity of Entropy in Families of Interval Maps - Lecture 1

0 rewiews
Explore the transfer operator, holomorphic motions, and entropy monotonicity in interval maps. Gain insights into applications in rational dynamics and quadratic families.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Equilibrium States Through Potential Theory - Lecture 2

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Dive into equilibrium states for rational maps and endomorphisms, exploring their construction through potential theory and their statistical properties in thermodynamic formalism.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Models for Dynamical Systems in Dimensions 1 and 2 - Lecture 3

0 rewiews
Explore dynamical systems in 1D and 2D, focusing on Milnor-Thurston's theorem and its potential 2D analogue for surface diffeomorphisms. Delve into connections with Teichmüller Theory and 3-manifold topology.
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1 Lesons
57 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Models for Dynamical Systems in Dimensions 1 and 2 - Lecture 2

0 rewiews
Explore models for dynamical systems in 1D and 2D, focusing on Milnor-Thurston's theorem and its potential 2D analogue for surface diffeomorphisms.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
NPTEL

Advanced Control System Design for Aerospace Vehicles

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Comprehensive exploration of advanced control systems for aerospace vehicles, covering classical and modern techniques, flight dynamics, optimization, and adaptive designs for enhanced aircraft performance.
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40 Lesons
1 day 14 hours
On-Demand
Free-Video
Steve Brunton

Sparse Nonlinear Dynamics Models with SINDy - The Library of Candidate Nonlinearities

0 rewiews
Explores advanced techniques for SINDy algorithm, including control variables, bifurcation parameters, rational functions, dimensionality reduction, and symmetry constraints in nonlinear dynamics modeling.
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7 Lesons
27 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Normal Forms for Vector Fields

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Introduction to normal forms for vector fields, focusing on simplifying nonlinear terms and determining topological equivalence. Covers theory, examples, and applications in dynamical systems analysis.
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7 Lesons
1 hour 20 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Center Manifolds for Hamiltonian Systems and PDEs - Lorenz System Bifurcation, Part 2

0 rewiews
Explore center manifolds in Hamiltonian systems and PDEs, including Lorenz system bifurcation, unstable directions, and applications to flame front evolution and celestial mechanics.
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7 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Center Manifold Theory - Computing Center Manifolds

0 rewiews
Explore center manifold theory for dynamical systems, focusing on computing and approximating center manifolds. Learn to analyze stability and dynamics near equilibrium points using Taylor series expansions and tangency conditions.
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11 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Hyperbolic vs Non-Hyperbolic Fixed Points - Computing Their Invariant Manifolds via Taylor Series

0 rewiews
Explore hyperbolic and non-hyperbolic fixed points, their invariant manifolds, and computational methods using Taylor series expansion in dynamical systems and nonlinear dynamics.
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7 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Stability of Periodic Orbits - Floquet Theory - Stable and Unstable Invariant Manifolds

0 rewiews
Explore stability of periodic orbits using Floquet theory. Learn about monodromy matrices, Floquet multipliers, and invariant manifolds in Hamiltonian systems. Understand the foundations of chaos in dynamical systems.
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9 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Periodic Systems and Periodic Motion - Parametric Resonance Tongues of Instability, Mathieu Equation

0 rewiews
Explore periodic systems, parametric resonance, and the Mathieu equation. Learn about resonance tongues, stability analysis, and the fascinating Kapitza pendulum phenomenon in nonlinear dynamics.
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11 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Hamiltonian Normal Forms, Lie Series Method for Transformations - Infinite-Dimensional Hamiltonians

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Explore Hamiltonian normal forms, Lie series transformations, and infinite-dimensional systems. Learn to simplify complex dynamics and analyze PDEs like shallow water equations.
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7 Lesons
1 hour 1 minute
On-Demand
Free-Video
Ross Dynamics Lab

Poisson Brackets, Non-Canonical Hamiltonian Systems and Euler's Rigid Body Equations

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Explore Poisson brackets, non-canonical Hamiltonian systems, and Euler's rigid body equations in this advanced dynamics lecture. Gain insights into abstract algebra, Lie algebra, and their applications in physics and mechanics.
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10 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Integrable and Non-Integrable Hamiltonian Systems - KAM Tori - Poincare Sections - Poisson Brackets

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Explore integrable and non-integrable Hamiltonian systems, KAM theory, Poincaré sections, and Poisson brackets in this advanced dynamics lecture, offering insights into complex nonlinear systems and their behavior.
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6 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Lagrangian Coherent Structures Introduction

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Explore Lagrangian coherent structures in fluid flows, revealing particle transport patterns. Learn theoretical foundations and applications in fluid mechanics, with insights on reduced order modeling.
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16 Lesons
31 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Hamilton-Jacobi Theory - Finding the Best Canonical Transformation + Examples

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Explore Hamilton-Jacobi theory for optimal canonical transformations in Hamiltonian systems. Learn to solve the Hamilton-Jacobi equation and apply it to oscillators and central force problems.
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8 Lesons
54 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Generating Function of a Canonical Transformation - Examples and the Big Picture

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Explore generating functions for canonical transformations in Hamiltonian systems. Learn about harmonic oscillator examples, near-identity transformations, and connections to quantum mechanics and gauge invariance.
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8 Lesons
57 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Principle of Least Action and Lagrange's Equations of Mechanics - Basics of Calculus of Variations

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Explore variational principles in mechanics, including the Principle of Least Action and Lagrange's equations. Learn calculus of variations techniques and their applications in physics and engineering problems.
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7 Lesons
59 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Hamiltonian Systems Introduction - Why Study Them?

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Explore Hamiltonian systems and their advantages in mechanics. Learn about generalized momentum, canonical equations, and the transformation from Lagrangian to Hamiltonian formalism.
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7 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Bifurcations in 2D, Part 4 - Global Bifurcations, Limit Cycle Creation - Homoclinic Bifurcation

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Explores global bifurcations in 2D systems, focusing on limit cycle creation through saddle-node, SNIPER, and homoclinic bifurcations. Examines universal behaviors and applications to biological systems.
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6 Lesons
29 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Limit Cycles - Poincare-Bendixson Worked Examples: Glycolysis

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Explore Poincaré-Bendixson theorem applications in limit cycle analysis, including a glycolysis model. Learn to construct trapping regions using nullclines and understand parameter spaces for stable limit cycles.
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6 Lesons
28 minutes
On-Demand
Free-Video
Steve Brunton

Koopman Analysis

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Explore advanced techniques in dynamical systems analysis, including Koopman theory, spectral analysis, and applications to control and chaos in various scientific domains.
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13 Lesons
3 hours 30 minutes
On-Demand
Free-Video
Steve Brunton

Dynamical Systems

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Explore advanced techniques in dynamical systems analysis, including SINDy, Koopman theory, and deep learning applications for modeling complex nonlinear systems.
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19 Lesons
6 hours
On-Demand
Free-Video
The Julia Programming Language

Julia for Biologists - A Perspective on Speed, Abstraction, and Metaprogramming

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Explore Julia's potential in biology: speed, abstraction, and metaprogramming for data analysis, modeling, and research. Learn practical examples and discover the Julia ecosystem for biologists.
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21 Lesons
38 minutes
On-Demand
Free-Video
The Julia Programming Language

Changing Physics Education with Julia

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Revolutionizing physics education by integrating Julia programming, focusing on nonlinear dynamics. Demonstrates how coding enhances understanding, introduces interactive applications, and discusses benefits of real-world exercises.
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16 Lesons
25 minutes
On-Demand
Free-Video
Steve Brunton

Systems of ODEs: Imaginary Eigenvalues and Center Fixed Points

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Explore imaginary eigenvalues and center fixed points in 2D ODE systems. Learn to compute eigenvectors, write solutions, and understand geometric intuition behind rotational dynamics.
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7 Lesons
38 minutes
On-Demand
Free-Video
Steve Brunton

Systems of ODEs - Saddle Points and Instability

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Explore unstable saddle points in 2D linear ODEs, their applications in energy-efficient transport, and analysis using eigenvalues, eigenvectors, and phase portraits.
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5 Lesons
28 minutes
On-Demand
Free-Video