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On mechanisms of destruction of adiabatic invariance in slow-fast Hamiltonian systems

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journal contribution
posted on 26.06.2019, 14:09 by Anatoly NeishtadtAnatoly Neishtadt
In many problems of classical mechanics and theoretical physics dynamics can be described as a slow evolution of periodic or quasi-periodic processes. Adiabatic invariants are approximate first integrals for such dynamics. The existence of adiabatic invariants makes dynamics close to regular. Destruction of adiabatic invariance leads to chaotic dynamics. We present a review of some mechanisms of destruction of adiabatic invariance in slow–fast Hamiltonian systems with examples from charged particle dynamics.

Funding

Leverhulme Trust (grant RPG-2018-143)

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Nonlinearity

Volume

32

Pages

53 - 76

Citation

NEISHTADT, A., 2019. On mechanisms of destruction of adiabatic invariance in slow-fast Hamiltonian systems. Nonlinearity, 32, R53–R76.

Publisher

© IOP Publishing Ltd and London Mathematical Society

Version

AM (Accepted Manuscript)

Rights holder

© IOP Publishing

Publisher statement

Reproduced with permission. All rights reserved.

Acceptance date

17/06/2019

Publication date

2019-10-09

Notes

Closed access until 12 months after publication

ISSN

0951-7715

Language

en