Lecture

Dynamical Systems: Equilibrium Points and Stability

In course

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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

https://mediaspace.epfl.ch/media/0_1b4qxkcf

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Ontological neighbourhood

Mathematics

Analysis: Differential anaysis, Vector analysis

Algebra: Representation theory

Systems science and engineering

Systems theory: Chaos theory

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