mechanisms_adiabatic_reviision_1.pdf (3.98 MB)
Download fileOn mechanisms of destruction of adiabatic invariance in slow-fast Hamiltonian systems
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
NonlinearityVolume
32Pages
53 - 76Citation
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 SocietyVersion
- AM (Accepted Manuscript)
Rights holder
© IOP PublishingPublisher statement
Reproduced with permission. All rights reserved.Acceptance date
2019-06-17Publication date
2019-10-09Notes
Closed access until 12 months after publicationISSN
0951-7715Publisher version
Language
- en