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