Lyapunov unstable elliptic equilibria

DOI10.1090/jams/997OpenAlexW4213296003MaRDI QIDQ5039466

Bassam Fayad

Publication date: 13 October 2022

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.09059

zbMATH Keywords

Birkhoff normal formHamiltonian flowselliptic equilibriadiffusion mechanism

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) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30) Symplectic and canonical mappings (37J11) Fixed points and periodic points of finite-dimensional Hamiltonian and Lagrangian systems (37J12)

Related Items (6)

Normalization flow ⋮ Nonlinear stability of elliptic equilibria in Hamiltonian systems with resonances of order four with interactions ⋮ Formal stability, stability for most initial conditions and diffusion in analytic systems of differential equations ⋮ Lyapunov instability in KAM stable Hamiltonians with two degrees of freedom ⋮ On the optimal effective stability bounds for quasi-periodic tori of finitely differentiable and Gevrey Hamiltonians ⋮ Super-exponential stability for generic real-analytic elliptic equilibrium points

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