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A map for systems with resonant trappings and scatterings
journal contribution
posted on 2020-02-03, 10:15 authored by Anton Artemyev, Anatoly NeishtadtAnatoly Neishtadt, Alexei VasilievSlow-fast dynamics and resonant phenomena can be found in a wide range of physical systems, including problems of celestial mechanics, fluid mechanics, and charged particle dynamics. Important resonant effects that control transport in the phase space in such systems are resonant scatterings and trappings. For systems with weak diffusive scatterings the transport properties can be described with the Chirikov standard map, and the map parameters control the transition between stochastic and regular dynamics. In this paper we put forward the map for resonant systems with strong scatterings that result in non-diffusive drift in the phase space, and trappings that produce fast jumps in the phase space. We demonstrate that this map describes the transition between stochastic and regular dynamics and find the critical parameter values for this transition.
Funding
Russian Scientific Fund, project 19-12-00313
History
School
- Science
Department
- Mathematical Sciences
Published in
Regular and Chaotic DynamicsVolume
25Issue
1Pages
2 - 10Publisher
SpringerVersion
- AM (Accepted Manuscript)
Rights holder
© Pleiades Publishing, LtdPublisher statement
This is a post-peer-review, pre-copyedit version of an article published in Regular and Chaotic Dynamics. The final authenticated version is available online at: https://doi.org/10.1134/S1560354720010025.Acceptance date
2019-12-04Publication date
2020-02-20Copyright date
2020ISSN
1560-3547eISSN
1468-4845Publisher version
Language
- en
Depositor
Prof Anatoly Neishtadt. Deposit date: 1 February 2020Usage metrics
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