Chaotic Maps. Contents

• Deterministic Chaos
• 1D maps
  • Sawtooth map
  • Tent map dynamics
  • Strange Cantor repeller
  • Quadratic maps
    Bifurcation diagram for quadratic maps
    Windows of regular dynamics scaling
    Chaotic quadratic maps
    Transition to chaos through period doublings
    Transition to chaos through intermittency
    Cantor-like sets and chaotic transient
  • "Swallows" and "shrimps"
  • Circle maps
• 2D maps
  • Baker's map
  • Smale horseshoe and 2D strange repellers
  • The Henon map
    Bifurcation diagram of the Henon map
    Structure of the parameter space of the Henon map     Jason A.C. Gallas
    Strange attractors
• Hamiltonian chaos
  • Nonlinear resonance
  • The Standard map
  • Homoclinic structures in the standard map
  • Resonances
  • Area-preserving Henon map
• More chaotic dynamical systems
  • Lorenz model
  • GPU based simulations (not for mobile devices yet)
    Lorenz band, Fluid dynamics, Excitable mediums.

The Mandelbrot and Julia sets Anatomy

All sources are in public domain. Evgeny Demidov