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
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Assignment
Strange attractors
a-Traktor –
Atraktor –
Attract Explorer –
Attractors –
Chaoscope –
Interactive Lorenz –
Visions of Chaos
Gallery of strange attractors »
Syllabus
- 01 Towards Computer Art
- 02 Software Aesthetics
- 03 History of Computer Art
- 04 Aesthetic Functions
- 05 Aesthetic Transformations
- 06 Aesthetic Proportions
- 07 Complex Systems and Graftals
- 08 Geometric Fractals
- 09 Algebraic Fractals
- 10 Chaotic Fractals
- 11 Symmetry and Ornament
- 12 Nonperiodic Tiling
- 13 Specialized Tiling
- 14 Decorative Knots
- 15 Mathematical Sculpture
- 16 Bio Art
- 17 Exact Aesthetics
- 18 Vision and Depiction
- 19 Colour and Composition
- 20 Nonphotorealistic Rendering