Nonlinear Dynamics and Chaos

Related lectures (31)

Page 1 of 4

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

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

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

Explores Chaos Theory, focusing on the logistic map, periodic orbits, and stability conditions.

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

Explores chaotic maps, fix points, periodic orbits, and intermittent chaos.

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

Explores attractors and their stability in dynamical systems, including fixed points, periodic orbits, and chaotic attractors.