Chaotic Fractals

Visual chaos of strange attractors

• Deterministic chaos
  • Stability, bifurcation, butterfly effect
  • Logistic equation
  • Strange attractors
• Discrete dynamical systems
  • Hénon attractor
  • Lyapunov exponent and fractal characteristics
  • Trigonometric and space transformations
• Continuous dynamical systems
  • Ordinary differential equations
  • Numerical integration with Euler method
  • Lorenz and Rössler attractors

Resources

• Chaos Theory (World of Mathematics)
• Fractals, Chaos, Self-Similarity (Paul Bourke)
• The Chaos Hypertextbook (Glenn Elert)
• Chaos: A Mathematical Adventure (Jos Leys, Étienne Ghys & Aurélien Alvarez)
• Math:Rules – Strange Attractors (Chaotic Atmospheres)
• Chaoscope Tutorial

Assignment

Strange attractors

a-Traktor – Atraktor – Attract Explorer – Attractors – Chaoscope – Interactive Lorenz – Visions of Chaos

Gallery of strange attractors  »