On mechanisms of destruction of adiabatic invariance in slow–fast Hamiltonian systems
From MaRDI portal
Publication:5240835
DOI10.1088/1361-6544/ab2a2czbMath1459.70039OpenAlexW2955342828MaRDI QIDQ5240835
Publication date: 29 October 2019
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/ab2a2c
Hamilton's equations (70H05) Adiabatic invariants for problems in Hamiltonian and Lagrangian mechanics (70H11) Multiple scale methods for ordinary differential equations (34E13) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Averaging of perturbations for nonlinear problems in mechanics (70K65)
Related Items (4)
On integrable models close to slow-fast Hamiltonian systems ⋮ Second-order fast-slow dynamics of non-ergodic Hamiltonian systems: thermodynamic interpretation and simulation ⋮ Anatolii Iserovish Neishtadt ⋮ Second-order asymptotic expansion and thermodynamic interpretation of a fast-slow Hamiltonian system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Nonlinear dynamics of charged particles in an oblique electromagnetic wave
- Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems
- Unbounded energy growth in Hamiltonian systems with a slowly varying parameter
- On the change in the adiabatic invariant on crossing a separatrix in systems with two degrees of freedom
- Random and deterministic perturbations of nonlinear oscillators
- Phase change between separatrix crossings
- Integrability and ergodicity of classical billiards in a magnetic field.
- Limit theorem for a dynamical system in the presence of resonances and homoclinic orbits
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Repulsion From resonances
- Phase change between separatrix crossings in slow–fast Hamiltonian systems
- Adiabatic Invariance in Volume-Preserving Systems
- Classical billiards in magnetic fields
- Violation of adiabaticity in magnetic billiards due to separatrix crossings
- Equilibration of energy in slow–fast systems
- Stable periodic motions in the problem on passage through a separatrix
- Averaging method for systems with separatrix crossing
- SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
- On the adiabatic theorem for the Hamiltonian system of differential equations in the classical mechanics, I
This page was built for publication: On mechanisms of destruction of adiabatic invariance in slow–fast Hamiltonian systems
