Parameterization of invariant manifolds by reducibility for volume preserving and symplectic maps
From MaRDI portal
Publication:1760090
DOI10.3934/dcds.2012.32.4321zbMath1252.32015OpenAlexW2326026749MaRDI QIDQ1760090
Rafael de la Llave, Jason D. Mireles James
Publication date: 12 November 2012
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2012.32.4321
invariant manifoldsKAM theorysymplectic mappingsvolume preserving mappingsreal analytic diffeomorphisms
Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Invariant manifold theory for dynamical systems (37D10)
Related Items
Expansions in the delay of quasi-periodic solutions for state dependent delay equations, Validated numerics for equilibria of analytic vector fields: Invariant manifolds and connecting orbits, A KAM theorem for lower dimensional elliptic invariant tori of nearly integrable symplectic mappings, High-Order Parameterization of Stable/Unstable Manifolds for Long Periodic Orbits of Maps, Computer assisted error bounds for linear approximation of (un)stable manifolds and rigorous validation of higher dimensional transverse connecting orbits, Coexistence of hyperbolic and elliptic invariant tori for completely degenerate quasi-periodically forced maps, Parabolic invariant tori in quasi-periodically forced skew-product maps, Polynomial approximation of one parameter families of (un)stable manifolds with rigorous computer assisted error bounds, Gevrey-smoothness of lower dimensional hyperbolic invariant tori for nearly integrable symplectic mappings, A KAM theorem for a class of nearly integrable symplectic mappings, Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families, Homoclinic dynamics in a restricted four-body problem: transverse connections for the saddle-focus equilibrium solution set, Existence of invariant curves for area-preserving mappings under weaker non-degeneracy conditions
