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#Bifurcations

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NPTEL

Topics in Nonlinear Dynamics

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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

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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
MonteHeart Lectures

Bifurcations - Troubleshooting

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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
Ross Dynamics Lab

Phase Portraits from Potential Energy - Bifurcations - Constraint Forces from Lagrange Multipliers

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Explore phase portraits, bifurcations, and constraint forces in dynamical systems. Learn graphical methods, analyze system behavior changes, and understand Lagrangian mechanics with practical applications.
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6 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Ross Dynamics Lab

Center Manifold Theory - Computing Center Manifolds

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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

Bifurcations in 2D, Part 1 - Introduction, Saddle-Node, Pitchfork, Examples

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Explore bifurcations in 2D systems, including saddle-node and pitchfork types. Learn how fixed points and closed orbits change with parameter variations, using examples from genetic regulatory systems.
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7 Lesons
43 minutes
On-Demand
Free-Video
ADC - Audio Developer Conference

Properties of Chaotic Systems for Audio

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Explore chaotic systems for audio generation and transformation. Learn about fixed points, bifurcation, and practical applications with interactive visualizations and code examples.
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1 Lesons
44 minutes
On-Demand
Free-Video
Steve Brunton

Topics in Dynamical Systems - Fixed Points, Linearization, Invariant Manifolds, Bifurcations & Chaos

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Explore dynamical systems: fixed points, linearization, manifolds, bifurcations, and chaos. Gain insights into nonlinear dynamics and their applications in describing our changing world.
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9 Lesons
32 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Nonlinear Dynamics in an Age of Heuristic Science

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Explore nonlinear dynamics through combinatorial topology, offering efficient computational methods and new perspectives for multiscale systems and data-driven science in biology and engineering.
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22 Lesons
59 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Chimera States in Mechanical Oscillator Networks by Shashi Thutupalli

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Explore chimera states in mechanical oscillator networks, covering synchronization, Kuramoto model, coupled populations, experimental designs, and various chimera phenomena in complex systems.
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17 Lesons
45 minutes
On-Demand
Free-Video
Complexity Explorer

Dynamical Systems and Chaos - Interview with Stephen H. Kellert

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Entrevista con Stephen H. Kellert sobre sistemas dinámicos y caos, explorando conceptos clave como bifurcaciones, el efecto mariposa y atractores extraños, y su relevancia en diversos campos científicos y humanísticos.
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29 Lesons
35 minutes
On-Demand
Free-Video
ICTP Mathematics

Dynamical Systems - Lecture 01

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Explore fundamental concepts and applications of dynamical systems theory in this comprehensive lecture by mathematician Stefano Luzzatto.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Erik Lindgren: Infinity-Harmonic Potentials in Convex Rings

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Exploration of Infinity-Laplace equation solutions in planar convex rings, focusing on streamline behavior, bifurcation phenomena, and regularity issues, with detailed analysis of a punctured square case.
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1 Lesons
58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Complex Dynamics in the Tropics - Partial Hyperbolicity in the Hénon Family

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Explore partial hyperbolicity in Hénon family dynamics. Delve into complex mathematical concepts, including Henon-like maps, quadratic handle maps, and Julia sets.
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16 Lesons
1 hour
On-Demand
Free-Video
PCS Institute for Basic Science

Complexity Dynamics of Atopic Dermatitis System

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Explore the complexity of atopic dermatitis through an in silico model, uncovering new oscillating behaviors and multistability patterns to enhance understanding and potential treatment strategies.
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1 Lesons
30 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Noise-Driven Bifurcations in Neural Field Systems Modeling Grid Cell Networks

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Explore noise-driven bifurcations in neural field systems, focusing on grid cell network modeling and their implications for spatial navigation.
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1 Lesons
42 minutes
On-Demand
Free-Video
PCS Institute for Basic Science

Negative Drag and Symmetry-Breaking Motility in a Dilute Active Fluid

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Explore negative drag and symmetry-breaking motility in dilute active fluids, examining continuous and discontinuous transitions in object velocity and critical phenomena in the mean-field Ising universality class.
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1 Lesons
32 minutes
On-Demand
Free-Video
Instituto de Física Interdisciplinar y Sistemas Complejos (IFISC)

Bifurcations and Multistability in Adaptive Vascular Networks

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Explore bifurcations and multistability in adaptive vascular networks, uncovering complex dynamics and emergent behaviors in biological systems.
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1 Lesons
57 minutes
On-Demand
Free-Video