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The study of how systems evolve over time when their underlying state space, attractors, or trajectories exhibit fractal geometry. Chaos theory often reveals strange attractors—fractal sets in phase space that orbits never leave but never settle onto a single point. Fractal Dynamics analyzes these objects: their dimension, their topology, their scaling properties, and how they govern the system's long-term behavior. It's the dynamics of the infinitely wrinkled, the perpetually unsettled.
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