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Résumé :
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Introduction: Causality Principle, Deterministic Laws and Chaos. The Backbone of Fractals: Feedback and the Iterator. Classical Fractals and Self-Similarity. Limits and Self-Similarity. Length, Area, and Dimension: Measuring Complexity and Scaling Properties. Encoding Images by Simple Transformations. The Chaos Game: How Randomness Creates Deterministic Shapes. Recursive Structures: Growing Fractals and Plants. Pascal's Triangle: Cellular Automata and Attractors. Irregular Shapes: Randomness in Fractal Constructions. Deterministic Chaos: Sensitivity, Mixing, and Periodic Points. Order and Chaos: Period-Doubling and Its Chaotic Mirror. Strange Attractors: The Locus of Chaos. Julia Sets: Fractal Basin Boundaries. The Mandelbrot Set: Ordering the Julia Set.
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