Normal forms for perturbations of systems possessing a Diophantine invariant torus

DOI10.1017/etds.2017.116zbMath1443.37048arXiv1511.02733OpenAlexW2963032181MaRDI QIDQ4968755

Jessica Elisa Massetti

Publication date: 9 July 2019

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02733

zbMATH Keywords

dissipative systemsMoser normal formpersistence of Diophantine invariant tori

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Dynamical systems in classical and celestial mechanics (37N05) Nearly integrable Hamiltonian systems, KAM theory (70H08)

Related Items (8)

Corrigendum to `Reducibility of first order linear operators on tori via Moser's theorem' ⋮ Aubry-Mather theory for conformally symplectic systems ⋮ Almost periodic invariant tori for the NLS on the circle ⋮ Attractive invariant circles à la Chenciner ⋮ Small amplitude weak almost periodic solutions for the 1d NLS ⋮ On the fragility of periodic tori for families of symplectic twist maps ⋮ A note on the construction of Sobolev almost periodic invariant tori for the 1d NLS ⋮ KAM quasi-periodic tori for the dissipative spin-orbit problem

Cites Work

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