Nonlinear Dynamics and Chaos

Related lectures (31)

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Covers Hopf bifurcations, pitchfork bifurcations, and the Lorenz system in nonlinear dynamics and chaos.

Delves into homoclinic orbits, bifurcations, and limit cycles in nonlinear dynamics.

Explores periodic orbits in Hamiltonian systems and their stability under various conditions.

Explores stability properties and fixed points in discrete time solutions.

Explores fixed point stability, Lyapunov functions, Lotka-Volterra models, and nonlinear dynamics in complex systems.

Covers the theoretical basis of linear and nonlinear dynamical systems for engineers.

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

Covers the topic of bifurcations in dynamical system theory, focusing on the pitchfork bifurcation.

Covers special types of systems, focusing on gradient systems and limit cycles, discussing equilibrium points, stability, and chaotic behavior.

Explores stability analysis in linear systems, emphasizing eigenvalues, eigenvectors, and stable manifolds.