Local adiabatic invariants near a homoclinic set of a slow-fast Hamiltonian system
DOI10.1134/S0081543820050028zbMath1476.70069OpenAlexW3111345081MaRDI QIDQ2214277
Publication date: 8 December 2020
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0081543820050028
Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37) Systems with slow and fast motions for nonlinear problems in mechanics (70K70) Symplectic and canonical mappings (37J11) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)
Related Items (1)
Cites Work
- Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders
- Perturbations of geodesic flows by recurrent dynamics
- 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
- A variational construction of chaotic trajectories for a reversible Hamiltonian system
- Transition map and shadowing lemma for normally hyperbolic invariant manifolds
- Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system
- Capture into resonance and escape from it in a forced nonlinear pendulum
- Shilnikov lemma for a nondegenerate critical manifold of a Hamiltonian system
- Geometric properties of the scattering map of a normally hyperbolic invariant manifold
- Arnold diffusion far from strong resonances in multidimensionala prioriunstable Hamiltonian systems
- The anti-integrable limit
- Introduction to the Perturbation Theory of Hamiltonian Systems
- Arnold diffusion for smooth convex systems of two and a half degrees of freedom
- Symbolic dynamics of almost collision orbits and skew products of symplectic maps
- Separatrix maps in Hamiltonian systems
- Geometric shadowing in slow–fast Hamiltonian systems
- Calculus of variations in the large and classical mechanics
- Trajectories in a neighbourhood of asymptotic surfaces ofa prioriunstable Hamiltonian systems
- Jumps of energy near a separatrix in slow-fast Hamiltonian systems
- Connecting orbits of autonomous Lagrangian systems
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Local adiabatic invariants near a homoclinic set of a slow-fast Hamiltonian system