Chaos Theory: Chaotic Maps and Logistic Map

Related lectures (31)

Page 3 of 4

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

Explores flip and Andronov-Hopf bifurcations, showing how systems change equilibrium points and stability.

Introduces dynamical systems, equilibrium points, stability, vector fields, phase plots, and Lyapunov stability.

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

Covers the introduction to bifurcations in dynamical systems, including examples and theorems.

Covers Morse theory, critical points, and Conley-Zehnder index in Hamiltonian systems.

Covers the harmonic responses of systems to non-harmonic signals.

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

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

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