File(s) under embargo

Reason: Publisher requirement

112

days

16

hours

until file(s) become available

A map for systems with resonant trappings and scatterings

journal contribution
posted on 03.02.2020 by Anton Artemyev, Anatoly Neishtadt, Alexei Vasiliev
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 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 Dynamics

Volume

25

Issue

1

Pages

2 - 10

Publisher

Springer

Version

AM (Accepted Manuscript)

Rights holder

© Pleiades Publishing, Ltd

Publisher 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

04/12/2019

Publication date

2020-02-20

Copyright date

2020

ISSN

1560-3547

eISSN

1468-4845

Language

en

Depositor

Prof Anatoly Neishtadt. Deposit date: 1 February 2020

Exports

Logo branding

Categories

Exports