Both describe positive Lyapunov exponents (sensitivity to initial conditions), scaling laws, and self-similarity. One in discrete dynamical systems with fractal attractors, one in black hole particle motion. Solid structural match.
System state evolves discretely through iterated function. Scaling symmetry preserves dynamics under magnification/contraction. Near fixed points, small perturbations grow exponentially (positive Lyapunov exponent) causing sensitive dependence. Trajectories confined to fractal attractor with non-integer dimension. Chaotic regime characterized by scaling laws and self-similarity across scales.
view paper→Particle motion in extremal configurations exhibits positive Lyapunov exponents indicating sensitivity to initial conditions. Chaos persists even at zero temperature. System parameters (spin, charge) modulate chaos strength - increasing one parameter strengthens chaotic behavior while the other weakens it.
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