Persistence of Periodic Orbits for Perturbed Dissipative Dynamical Systems

DOI10.1007/978-1-4614-4523-4_1zbMath1263.35016OpenAlexW2180237308MaRDI QIDQ4913733

Geneviève Raugel, Jack K. Hale

Publication date: 9 April 2013

Published in: Infinite Dimensional Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4614-4523-4_1

zbMATH Keywords

asymptotically smoothingsmoothing in finite timesome methods of proofs

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Periodic solutions to PDEs (35B10) Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems (37L50)

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Hopf bifurcation for general 1D semilinear wave equations with delay ⋮ Hopf bifurcation for semilinear dissipative hyperbolic systems ⋮ Solution regularity and smooth dependence for abstract equations and applications to hyperbolic PDEs ⋮ Fredholm operators, evolution semigroups, and periodic solutions of nonlinear periodic systems ⋮ Regularity of the global attractor and finite-dimensional behavior for the second grade fluid equations ⋮ In memoriam: Geneviève Raugel ⋮ Global continuation of periodic oscillations to a diapause rhythm

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