Conley index continuation for singularly perturbed hyperbolic equations
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Publication:1428718
DOI10.12775/TMNA.2003.037zbMath1083.37011MaRDI QIDQ1428718
Publication date: 29 March 2004
Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)
Stability of topological dynamical systems (37B25) Singular perturbations in context of PDEs (35B25) Second-order nonlinear hyperbolic equations (35L70) Index theory for dynamical systems, Morse-Conley indices (37B30) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Symmetries of infinite-dimensional dissipative dynamical systems (37L20)
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Conley index and tubular neighborhoods. II. ⋮ Tubular neighborhoods and continuation of Morse decompositions ⋮ TOWARDS A MORSE THEORY FOR RANDOM DYNAMICAL SYSTEMS ⋮ Periodic solutions of nonlinear hyperbolic evolution systems ⋮ Nested sequences of index filtrations and continuation of the connection matrix ⋮ Regularity of invariant sets in variable internal damped wave equations ⋮ Singular dynamics of strongly damped beam equation ⋮ Regularity of invariant sets in semilinear damped wave equations
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