Part 2. Chaotic Maps
Contents

• Chaos in simple maps
• 1D maps
  • Sawtooth map
  • Tent map
  • Quadratic maps
  • Bifurcation diagram for quadratic maps
  • Windows of regular dynamics scaling
  • Chaotic quadratic maps     3 Nov
  • Cantor-like sets     8 Nov
  • Chaotic transient     8 Nov
  • Transition to chaos through period doublings
  • Transition to chaos through intermittency
  • Logistic maps     8 Nov
  • "Swallows" and "shrimps"     9 Nov
  • Circle maps     14 Nov
• 2D maps
  • Baker's map     14 Nov
  • The Henon map     14 Nov
  • Structure of the parameter space of the Henon map     Jason A.C. Gallas
  • Strange attractors
• Hamiltonian chaos     (draft *)
  • Nonlinear resonance
  • The Standard map
  • Resonances   *
  • "Black square" game   *
  • 2D Quadratic map   *
  • Hamiltonian chaos   *
• Two-electron atom
  • 3-body Coulomb dynamics
  • Poincare maps
  • Symbolic dynamics and Periodic orbits

• Controls and Java performance tips

Part 1. The Mandelbrot and Julia sets Anatomy

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