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
instabilityArnold diffusionshadowingscattering mapnormally hyperbolic manifoldscorrectly aligned windows
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)
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