dc.contributor.author
Miguel, N.
dc.contributor.author
Simó, C.
dc.contributor.author
Vieiro, A.
dc.date.accessioned
2023-06-19T10:47:31Z
dc.date.accessioned
2024-09-19T14:25:33Z
dc.date.available
2023-06-19T10:47:31Z
dc.date.available
2024-09-19T14:25:33Z
dc.date.issued
2022-06-02
dc.identifier.uri
http://hdl.handle.net/2072/535419
dc.description.abstract
We consider the Chirikov standard map for values of the parameterlarger than but close to Greene’s kG. We investigate the dynamics near thegolden Cantorus and study escape rates across it.Mackay [17, 19]described the behaviour of the mean of the number of iterates (Formula presented.) to cross the Cantorus as (Formula presented.) and showed that thereexists B<0 so that (Formula presented.) becomes 1-periodic in asuitable logarithmic scale. The numerical explorations here give evidence ofthe shape of this periodic function and of the relation between the escaperates and the evolution of the stability islands close to the Cantorus. © 2022, Pleiades Publishing, Ltd.
eng
dc.description.sponsorship
This work also acknowledges the CERCA Programme of the Generalitat de Catalunya for institutional support. This work was also supported by the Spanish State Research Agency, through the Severo Ochoa and Maria de Maeztu Program for Centres and Units of Excellence in R&D (CEX2020-001084-M).
dc.format.extent
29 p.
cat
dc.publisher
Pleiades Publishing
cat
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Diffusion through a Cantor set; escape times; standard map
cat
dc.title
Escape Times Across the Golden Cantorus of the Standard Map
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/acceptedVersion
cat
dc.identifier.doi
10.1134/S1560354722030029
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
