Lecture
Dynamical Systems: Equilibrium Points and Stability
In course
DEMO: cupidatat ipsum
Cillum velit dolor ipsum quis officia cupidatat aute ut fugiat ad veniam elit. Aute dolore occaecat anim dolore esse elit duis anim ad. Culpa cillum cillum exercitation reprehenderit ipsum dolor tempor laborum ut labore elit aliquip commodo minim. Aute ea occaecat cupidatat proident laboris nisi ex voluptate dolor aliquip velit id. Ullamco culpa sint est ea enim veniam.
Description
This lecture introduces dynamical systems, focusing on equilibrium points, stability, and phase plots. It covers the representation of dynamical systems, types of equilibrium points, and stability analysis using Lyapunov functions. The lecture also discusses the trajectory of a dynamical system, solution to ordinary differential equations, and the concept of phase plots. Various examples, including the pendulum system, are used to illustrate these concepts.
Official source
About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.
Ontological neighbourhood
Related lectures (65)
Introduction to Dynamical System
Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.
Curve Integrals of Vector Fields
Explores curve integrals of vector fields, emphasizing energy considerations for motion against or with wind, and introduces unit tangent and unit normal vectors.
Dynamics of Simple Pendulum and Lorenz Equations
Explores the dynamics of a simple pendulum and the intriguing Lorenz equations, highlighting sensitivity to initial conditions and the transition to chaos.
Eigenstate Thermalization Hypothesis
Explores the Eigenstate Thermalization Hypothesis in quantum systems, emphasizing the random matrix theory and the behavior of observables in thermal equilibrium.
Introduction to Quantum Chaos
Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.