Both involve scaling laws and critical behavior. Paper 1: fractal attractors and self-similarity. Paper 2: critical slowing down at bifurcations with diverging timescales. Related mathematical structures.
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→As a system approaches a bifurcation point, convergence to steady state slows dramatically. Near criticality, relaxation time diverges according to universal scaling laws. The system exhibits characteristic critical exponents that govern short-time behavior, asymptotic decay, and crossover between regimes.
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