Normal form and Nekhoroshev stability for nearly integrable Hamiltonian systems with unconditionally slow aperiodic time dependence

DOI10.1134/S1560354714030071zbMath1309.70026arXiv1311.6290OpenAlexW3098932976MaRDI QIDQ2513977

Stephen Wiggins, Alessandro Fortunati

Publication date: 29 January 2015

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6290

zbMATH Keywords

Hamiltonian systemsNekhoroshev theoremaperiodic time dependence

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

The Kolmogorov-Arnold-Moser (KAM) and Nekhoroshev Theorems with Arbitrary Time Dependence ⋮ Transient Invariant and Quasi-Invariant Structures in an Example of an Aperiodically Time Dependent Fluid Flow ⋮ A Kolmogorov theorem for nearly integrable Poisson systems with asymptotically decaying time-dependent perturbation ⋮ Quasi-effective stability for nearly integrable Hamiltonian systems ⋮ Negligibility of small divisor effects in the normal form theory for nearly-integrable Hamiltonians with decaying non-autonomous perturbations ⋮ Persistence of Diophantine flows for quadratic nearly integrable Hamiltonians under slowly decaying aperiodic time dependence ⋮ Integrability and strong normal forms for non-autonomous systems in a neighbourhood of an equilibrium

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