Global Persistence of Lyapunov Subcenter Manifolds as Spectral Submanifolds under Dissipative Perturbations

DOI10.1137/18M1210344zbMath1473.70033arXiv1809.00924WikidataQ126665412 ScholiaQ126665412MaRDI QIDQ5207550

Florian Kogelbauer, Rafael de la Llave

Publication date: 3 January 2020

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.00924

zbMATH Keywords

invariant manifoldsdissipative dynamical systemssingular perturbation theoryspectral submanifoldsLyapunov subcenter manifold

Mathematics Subject Classification ID

Singular perturbations of ordinary differential equations (34D15) Invariant manifolds for ordinary differential equations (34C45) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

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Stability of forced–damped response in mechanical systems from a Melnikov analysis ⋮ Melnikov method for non-conservative perturbations of the restricted three-body problem

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