Lyapunov instability in KAM stable Hamiltonians with two degrees of freedom

DOI10.3934/jmd.2023010zbMath1523.37069arXiv1912.12851OpenAlexW3024169785MaRDI QIDQ6176576

Frank Trujillo

Publication date: 25 July 2023

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.12851

zbMATH Keywords

stabilityKAM theoryHamiltonian dynamicsinvariant torinearly integrableelliptic fixed points

Mathematics Subject Classification ID

Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (1)

On the optimal effective stability bounds for quasi-periodic tori of finitely differentiable and Gevrey Hamiltonians

Cites Work

• Superexponential stability of quasi-periodic motion in Hamiltonian systems
• Stability and instability for Gevrey quasi-convex near-integrable Hamiltonian systems
• Lectures on celestial mechanics. Transl. from the German by C. I. Kalme.
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Composition in ultradifferentiable classes
• AN EXPONENTIAL ESTIMATE OF THE TIME OF STABILITY OF NEARLY-INTEGRABLE HAMILTONIAN SYSTEMS
• Lyapunov unstable elliptic equilibria
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