Superexponential stability of quasi-periodic motion in Hamiltonian systems

DOI10.1007/s00220-016-2782-9zbMath1375.37150arXiv1601.01783OpenAlexW3105746848MaRDI QIDQ514295

Abed Bounemoura, Bassam Fayad, Laurent Niederman

Publication date: 1 March 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01783

zbMATH Keywords

integrable Hamiltonian systemKAM toriGevrey smooth systemsLagrangian Diophantine torus

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (16)

Arnold diffusion in a priori chaotic symplectic maps ⋮ Generic perturbations of linear integrable Hamiltonian systems ⋮ The existence of affine-periodic solutions for nonlinear impulsive differential equations ⋮ KAM tori are no more than sticky ⋮ Some questions looking for answers in dynamical systems ⋮ Positive measure of effective quasi-periodic motion near a Diophantine torus ⋮ Riemann boundary value problems for multiplicative doubly quasi-periodic meta-analytic functions ⋮ Affine-periodic solutions for generalized ODEs and other equations ⋮ Lyapunov instability in KAM stable Hamiltonians with two degrees of freedom ⋮ Global properties of generic real-analytic nearly-integrable Hamiltonian systems ⋮ On the optimal effective stability bounds for quasi-periodic tori of finitely differentiable and Gevrey Hamiltonians ⋮ Superexponential stability of quasi-periodic motion in Hamiltonian systems ⋮ Hamiltonian perturbation theory for ultra-differentiable functions ⋮ Super-exponential stability for generic real-analytic elliptic equilibrium points ⋮ Instabilities of invariant quasi-periodic tori ⋮ On the algebraic properties of exponentially stable integrable Hamiltonian systems

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