Nonlinear Dynamics and Chaos

Related lectures (31)

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Covers the introduction to Quantum Chaos, classical chaos, sensitivity to initial conditions, ergodicity, and Lyapunov exponents.

Explores logistic maps, bifurcations, equilibrium points, and periodic orbits in nonlinear dynamics and chaos.

Explores one-dimensional maps, periodic solutions, and bifurcations in dynamical systems.

Introduces equilibrium points and bifurcations in differential equations, discussing their stability and relevance in various contexts.

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

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

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

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

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

Explores shell components in transcendental parameter planes and attracting cycles.