Nonlinear Dynamics and Chaos

Related lectures (31)

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

Covers bifurcations, long-term dynamics, logistic map, universality, and correspondence between different maps.

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

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

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

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

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

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

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

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