Attractors and Stability

Related lectures (31)

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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.

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

Explores shell components in transcendental parameter planes and attracting cycles.

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

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

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

Explores bifurcation, fractals, Julia sets, Mandelbrot set, and self-similarity in complex dynamical systems.

Covers chaos properties, focusing on Lyapunov exponents and their role in chaotic dynamics and predictability.

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