2026-04-17T04:03:42Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1947412025-12-05T09:58:05Zcom_2072_1057col_2072_478917col_2072_478920

Escape Times Across the Golden Cantorus of the Standard Map Miguel, Narcís Simó, Carles Vieiro Yanes, Arturo Sistemes dinàmics de baixa dimensió Low-dimensional dynamical systems We consider the Chirikov standard map for values of the parameter larger than but close to Greene's $k_G$. We investigate the dynamics near the golden Cantorus and study escape rates across it. Mackay $[17,19]$ described the behaviour of the mean of the number of iterates $\left\langle N_k\right\rangle$ to cross the Cantorus as $k \rightarrow k_G$ and showed that there exists $B<0$ so that $\left\langle N_k\right\rangle\left(k-k_G\right)^B$ becomes 1-periodic in a suitable logarithmic scale. The numerical explorations here give evidence of the shape of this periodic function and of the relation between the escape rates and the evolution of the stability islands close to the Cantorus. 2023-03-07T06:59:31Z 2023-06-02T05:10:30Z 2022-06-02 2023-03-07T06:59:32Z info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Versió postprint del document publicat a: https://doi.org/10.1134/S1560354722030029 Regular and Chaotic Dynamics, 2022, vol. 27, num. 3, p. 281-306 https://doi.org/10.1134/S1560354722030029 (c) Pleiades Publishing, 2022 info:eu-repo/semantics/openAccess Pleiades Publishing Articles publicats en revistes (Matemàtiques i Informàtica)