Almost invariant elliptic manifold in a singularly perturbed Hamiltonian system
From MaRDI portal
Publication:4533444
DOI10.1088/0951-7715/15/2/312zbMath1001.37050OpenAlexW1993963075MaRDI QIDQ4533444
Vassili Gelfreich, Lev M. Lerman
Publication date: 11 June 2002
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/15/2/312
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Singular perturbations for ordinary differential equations (34E15) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Systems with slow and fast motions for nonlinear problems in mechanics (70K70)
Related Items
Umbilical torus bifurcations in Hamiltonian systems ⋮ Exponential estimates of symplectic slow manifolds ⋮ Solitons of Whitham equation with resonance dispersion ⋮ Geometric singular perturbation theory for systems with symmetry ⋮ Geometry of slow-fast Hamiltonian systems and Painlevé equations ⋮ Local dynamics at focal points coupled with elliptic directions ⋮ Geometry and numerical continuation of multiscale orbits in a nonconvex variational problem ⋮ On various averaging methods for a nonlinear oscillator with slow time-dependent potential and a nonconservative perturbation ⋮ Separatrix splitting at a Hamiltonian \(0^2i\omega\) bifurcation ⋮ The 0:1 resonance bifurcation associated with the supercritical Hamiltonian pitchfork bifurcation ⋮ Normally elliptic singular perturbations and persistence of homoclinic orbits ⋮ Averaging and trajectories of a Hamiltonian system appearing in graphene placed in a strong magnetic field and a periodic potential ⋮ Solitons and cavitons in a nonlocal Whitham equation ⋮ Normal stability of slow manifolds in nearly periodic Hamiltonian systems ⋮ Slow-fast hamiltonian dynamics near a ghost separatix loop ⋮ Gevrey asymptotic properties of slow manifolds ⋮ Periodic orbits near a bifurcating slow manifold ⋮ On Hamiltonian bifurcations of invariant tori with a Floquet multiplier −1 ⋮ Long-periodic orbits and invariant tori in a singularly perturbed Hamiltonian system ⋮ Computation of Saddle-Type Slow Manifolds Using Iterative Methods
