Dynamical systems theory

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Related lectures (31)

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Deterministic Chaos and Statistics

Explores the Lorenz System, sensitivity to initial conditions, chaotic systems, and topological mixing.

Ergodic properties of low complexity symbolic systems

Explores the influence of complexity on ergodic properties of symbolic systems, presenting the Curtis-Hedlund-Lyndon Theorem and constructions of minimal subshifts.

Synchronization in Kuramoto Model

Explores the Kuramoto model for synchronization in phase oscillators and discusses stability criteria and critical coupling values.

Probabilistic Takens delay embedding theorem

Explores the Probabilistic Takens delay embedding theorem for reconstructing phase spaces using time-delayed measurements of observables.

Dynamic Systems: Course Review

Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.

Dynamical System Theory for Engineers: Introduction

Introduces dynamical system theory for engineers, covering system behavior, stability, and invariant sets.

Large Scale Stability in Dynamical Systems

Explores large scale stability in dynamical systems and interconnected behavior.

Dynamical System Theory for Engineers: Large Scale Stability

Covers the concept of large scale stability in dynamical systems.

Chaos Theory: Discrete Dynamical Systems

Explores Chaos Theory through Discrete Dynamical Systems and the Arnold's Cat Map.

Large Scale Stability Analysis

Covers large scale stability analysis and properties of dynamical systems solutions.