Perturbations of geodesic flows by recurrent dynamics
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Publication:520741
DOI10.4171/JEMS/683zbMath1362.37116arXiv1307.1617OpenAlexW2963800073MaRDI QIDQ520741
Rafael de la Llave, Marian Gidea
Publication date: 5 April 2017
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.1617
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Geodesic flows in symplectic geometry and contact geometry (53D25) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)
Related Items (11)
Global Melnikov theory in Hamiltonian systems with general time-dependent perturbations ⋮ Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems ⋮ Dynamical systems. Abstracts from the workshop held July 7--13, 2013. ⋮ Arnold Diffusion, Quantitative Estimates, and Stochastic Behavior in the <scp>Three‐Body</scp> Problem ⋮ Arnold Diffusion in a Model of Dissipative System ⋮ Separatrix maps in slow-fast Hamiltonian systems ⋮ A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold ⋮ Local adiabatic invariants near a homoclinic set of a slow-fast Hamiltonian system ⋮ Global effect of non-conservative perturbations on homoclinic orbits ⋮ Jumps of energy near a homoclinic set of a slowly time dependent Hamiltonian system ⋮ Generic properties of geodesic flows on analytic hypersurfaces of Euclidean space
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