Cross-domain structural pattern
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.
view paper→Localized perturbations in graph-structured systems induce optimal trajectories that decay exponentially with graph distance from perturbation source. Spatial decay arises from interaction topology: influences propagate through network edges but attenuate geometrically with path length. Graph distance acts as effective spatial dimension governing perturbation propagation, with topology imposing decay rate independently of detailed dynamics.
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