Bifurcation Theory - Saddle-Node, Hopf, Transcritical, Pitchfork
Explore saddle-node, transcritical, pitchfork, and Hopf bifurcations in dynamical systems. Learn how these phenomena affect phase portraits and system behavior as parameters change.
Data-Driven Science and Engineering
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.
Control Bootcamp - Kalman Filter Example in Matlab
Explore Kalman Filter implementation on inverted pendulum using Matlab, covering theory and practical application in dynamical systems and control engineering.
Engineering the Future of Medicine - The Turing Lectures
Explore cutting-edge machine learning applications in biomedical data interpretation, from cellular analysis to surgical skill assessment, with renowned engineer René Vidal.
Underactuated Robotics - Spring 2009
This course discusses nonlinear dynamics and control of underactuated mechanical systems, with an emphasis on machine learning methods.
Engineering Mathematics
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.
Topics in Nonlinear Dynamics
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.
Topics in Nonlinear Dynamics
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…
Nonlinear Dynamics and Chaos
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.
Exponentials, Economics, and Ecology with David Krakauer
Explore exponential changes, nonlinear dynamics, and interconnected systems in ecology and economics. Gain insights on aligning individual and public good in a complex world.
Demonology - Intelligence in Physics & Biology
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.
A Framework for Machine Learning of Model Error in Dynamical Systems
Explore a framework for machine learning to model error in dynamical systems, focusing on linear oscillators, partial information, and hybrid modeling techniques.
Transient Dynamics - The Key to Ecological Understanding - Alan Hastings, SFI + UC Davis
Explore transient dynamics in ecology, challenging classical theory focused on long-term behavior. Examine implications for modeling, management, and understanding complex ecological systems.
The Power of Temporal Networks
Explore how time-varying networks offer advantages in controllability, cooperation, and synchronization, challenging traditional views on network analysis and dynamics.
Using Curvature to Understand the Structure of Dynamics
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.
The Statue in the Stone: How Dynamical Systems Discover Environmental Patterns
Explores how complex systems adapt to environmental patterns, favoring stable configurations that match external forces. Illustrates with toy models and swarm-robotics experiment.
Loss of Self-Organization in Earth's Climate
Análisis de cambios en la autorregulación del clima terrestre mediante herramientas de sistemas complejos, comparando datos de temperatura global con el modelo Daisyworld.
The Dynamics of Computation and the Computational Power of Dynamics
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.
The Thermodynamics of Communication - Exploring Energy and Information Limits
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.
Nonlinear Dynamics of Beliefs over Social Networks
Explore how social networks, internal biases, and belief systems shape group dynamics and decision-making in complex social environments.
What is Lyfe? Towards a Biology of Context and Complexity
Exploring a multidimensional view of biology beyond genomics, emphasizing history, context, environment, and narrative to reframe our understanding of life and its complexities.