4.2 Article

A Map for Systems with Resonant Trappings and Scatterings

期刊

REGULAR & CHAOTIC DYNAMICS
卷 25, 期 1, 页码 2-10

出版社

PLEIADES PUBLISHING INC
DOI: 10.1134/S1560354720010025

关键词

scattering on resonance; capture into resonance

资金

  1. Russian Science Foundation [19-12-00313]
  2. Russian Science Foundation [19-12-00313] Funding Source: Russian Science Foundation

向作者/读者索取更多资源

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.

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