Lyapunov exponent

Related lectures (30)

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Covers Lyapunov stability theory, energy functions, positive-definite matrices, and system stability analysis through examples and theorems.

Covers BIBO stability, Lyapunov stability, state feedback, and eigenvalue assignment.

Explores Stable Estimator of Dynamical Systems (SEDS) for robots, covering stability, modeling, optimization, and limitations.

Explores small scale stability in gradient systems, analyzing trajectories and attractors in phase space.

Covers the Lyapunov stability theory and its applications in analyzing dynamical systems.

Explores Lyapunov stability and invariance of dynamical systems through examples and corollaries.

Covers dynamical systems, equilibrium points, stability analysis, and phase plots using examples like the pendulum system.

Explores linear response for chaotic systems, discussing SRB states, Lyapunov exponents, and convergence of the response formula.

Explores chaotic maps, fix points, stability, and Lyapunov exponents in discrete systems, emphasizing their role in determining chaos.

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