Chaos Theory: Chaotic Maps and Logistic Map

Related lectures (31)

Page 2 of 4

Explores the Lorenz System, sensitivity to initial conditions, chaotic systems, and topological mixing.

Covers chaotic behavior in complex systems, with applications in various fields and a historical overview of major developments in chaos theory.

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

Explores periodic orbits in Hamiltonian systems and their stability under various conditions.

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

Explores the stability of periodic solutions in continuous-time systems using the logistic map and the van der Pol oscillator.

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

Explores chaotic systems, fractals, and dimensions in Chaos Theory.

Covers dynamic systems, trajectories, growth models, stability of fixed points, and linearization of models.

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