Dynamical system

Related lectures (31)

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Explores linear response in high-dimensional systems, covering theory, practice, and implications of non-hyperbolicity and inhomogeneous subsystems.

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

Covers system analysis in the frequency domain for dynamical systems, including step response, frequency response, and Bode plots.

Covers the formalism and bases of dynamic systems, including differential equations and non-linear systems.

Delves into Chaos Theory, exploring chaotic systems, sensitivity to initial conditions, and the dynamics of the double pendulum.

Covers Lyapunov exponents, chaos measurement, and perturbation analysis in dynamical systems.

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

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

Covers the concept of fold bifurcation in dynamical systems, focusing on the saddle-mode behavior.

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