On mechanisms of destruction of adiabatic invariance in slow-fast Hamiltonian systems
journal contributionposted on 2019-06-26, 14:09 authored 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.
Leverhulme Trust (grant RPG-2018-143)
- Mathematical Sciences
Pages53 - 76
CitationNEISHTADT, 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
- AM (Accepted Manuscript)
Rights holder© IOP Publishing
Publisher statementReproduced with permission. All rights reserved.
NotesClosed access until 12 months after publication