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Regular and Chaotic Dynamics, 2020, Volume 25, Issue 1, Pages 2–10
DOI: https://doi.org/10.1134/S1560354720010025
(Mi rcd1045)
 

This article is cited in 9 scientific papers (total in 9 papers)

Special issue: In honor of Valery Kozlov for his 70th birthday

A Map for Systems with Resonant Trappings and Scatterings

Anton V. Artemyevab, Anatoly I. Neishtadtbc, Alexei A. Vasilievb

a Institute of Geophysics and Planetary Physics, University of California, Los Angeles, 90095, USA
b Space Research Institute of RAS, ul. Profsoyuznaya 84/32, Moscow 117997, Russia
c Loughborough University, Loughborough LE11 3TU, UK
Citations (9)
References:
Abstract: Slow-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 nondiffusive 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.
Keywords: scattering on resonance, capture into resonance.
Funding agency Grant number
Russian Science Foundation 19-12-00313
This work was supported by the Russian Science Foundation, project 19-12-00313.
Received: 09.04.2019
Accepted: 04.12.2019
Bibliographic databases:
Document Type: Article
MSC: 37E40, 37M05
Language: English
Citation: Anton V. Artemyev, Anatoly I. Neishtadt, Alexei A. Vasiliev, “A Map for Systems with Resonant Trappings and Scatterings”, Regul. Chaotic Dyn., 25:1 (2020), 2–10
Citation in format AMSBIB
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\by Anton V. Artemyev, Anatoly I. Neishtadt, Alexei A. Vasiliev
\paper A Map for Systems with Resonant Trappings and Scatterings
\jour Regul. Chaotic Dyn.
\yr 2020
\vol 25
\issue 1
\pages 2--10
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\crossref{https://doi.org/10.1134/S1560354720010025}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85079720654}
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  • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:188
    References:61
     
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