Stochastic Web Map: Survival probability and escape frequency

2026/03/21 by K. B. Hidalgo-Castro, J. A. Méndez-Bermúdez, Edson D. Leonel · 1 voice
Physics and Astronomy · #nlin.CD

paper · pdf · doi:10.1016/j.physleta.2026.131875

Abstract

We study transport and escape in the Stochastic Web Map (SWM), an area-preserving system with phase-space structure controlled by a symmetry parameter q and nonlinearity K. By analyzing the survival probability P_S(n) and escape frequency P_E(ln n), we show that in the chaotic regime escape dynamics is governed by a single time scale n_typ∝ K^-2h²; here h is the size of the escape horizon. Deviations at large K and small h indicate a breakdown of the quasilinear approximation. Then, upon rescaling the time by n_typ, escape statistics becomes universal, independent of q. These results demonstrate that escape is controlled by global transport rather than symmetry.

Citations

• Fractional Standard Map

Discussions

• K. B. Hidalgo-Castro, J. A. M\'endez-Berm\'udez, Edson D. Leonel: Stochastic Web Map: Survival probability and escape frequency https://arxiv.org/abs/2603.20888 https://arxiv.org/pdf/2603.20888 https: [bsky, 0 points, 0 comments]

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