Frequency spanning homoclinic families.
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Publication:1406790
DOI10.1016/S1007-5704(03)00045-5zbMath1038.37051arXivnlin/0301006OpenAlexW3097991992MaRDI QIDQ1406790
Publication date: 7 September 2003
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0301006
Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Hamilton's equations (70H05) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
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Cites Work
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- The separation of motions in systems with rapidly rotating phase
- Transport in Hamiltonian systems
- Lobe area in adiabatic Hamiltonian systems
- Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
- Resonant capture and separatrix crossing in dual-spin spacecraft
- Transport in two-dimensional maps
- Width of stochastic layers in near-integrable two-dimensional symplectic maps.
- Universal properties of chaotic transport in the presence of diffusion
- Symplectic maps, variational principles, and transport
- Trellises Formed by Stable and Unstable Manifolds in the Plane
- Capture into resonance: An extension of the use of adiabatic invariants
- Slowly pulsating separatrices sweep homoclinic tangles where islands must be small: an extension of classical adiabatic theory
- A geometric criterion for adiabatic chaos
- Polynomial approximations of symplectic dynamics and richness of chaos in non-hyperbolic area-preserving maps
- Average exit time for volume-preserving maps
- Higher-order Melnikov theory for adiabatic systems
- Melnikov method and exponentially small splitting of separatrices