Geography of resonances and Arnold diffusion ina prioriunstable Hamiltonian systems
From MaRDI portal
Publication:3395292
DOI10.1088/0951-7715/22/8/013zbMath1171.37328OpenAlexW2094341683MaRDI QIDQ3395292
Publication date: 25 August 2009
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0951-7715/22/8/013
Averaging method for ordinary differential equations (34C29) 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) Resonance in context of PDEs (35B34) Homoclinic and heteroclinic orbits for dynamical systems (37C29)
Related Items
Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion, Arnold diffusion in a priori chaotic symplectic maps, Arnold diffusion of charged particles in ABC magnetic fields, Resonances and Phase Locking Phenomena for Foliation Preserving Torus Maps, Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems, A second order expansion of the separatrix map for trigonometric perturbations of a priori unstable systems, Kirkwood gaps and diffusion along mean motion resonances in the restricted planar three-body problem, Normal forms, stability and splitting of invariant manifolds. II: Finitely differentiable Hamiltonians, Nekhoroshev estimates for finitely differentiable quasi-convex Hamiltonians, Arnold diffusion for a complete family of perturbations with two independent harmonics, A counterexample to the theorem of Laplace-Lagrange on the stability of semimajor axes, Arnold Diffusion in a Model of Dissipative System, A geometric mechanism of diffusion: rigorous verification in a priori unstable Hamiltonian systems, Global properties of generic real-analytic nearly-integrable Hamiltonian systems, Global diffusion on a tight three-sphere, Arnold diffusion for a complete family of perturbations, A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold, Gevrey genericity of Arnold diffusion in a priori unstable Hamiltonian systems, Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders, Arnold diffusion in a neighborhood of strong resonances, Variational approach to Arnold diffusion, Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions