A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold

DOI10.3934/dcds.2020166zbMath1454.37054OpenAlexW3011927555MaRDI QIDQ2211125

Rafael de la Llave, Marian Gidea, Teresa M. Seara

Publication date: 12 November 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020166

zbMATH Keywords

instabilityArnold diffusionshadowingscattering mapnormally hyperbolic manifoldscorrectly aligned windows

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Related Items (3)

Computer assisted proof of drift orbits along normally hyperbolic manifolds. II: Application to the restricted three body problem ⋮ Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems ⋮ Global effect of non-conservative perturbations on homoclinic orbits

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