Tubular neighborhoods and continuation of Morse decompositions

DOI10.1017/etds.2014.24zbMath1352.37044OpenAlexW2073684676MaRDI QIDQ3192316

Maria C. Carbinatto, Krzysztof P. Rybakowski

Publication date: 12 October 2015

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

Full work available at URL: https://doi.org/10.1017/etds.2014.24

zbMATH Keywords

Morse decompositionsperturbed semiflowsemiflow perturbations

Mathematics Subject Classification ID

Ordinary differential equations and systems on manifolds (34C40) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (3)

Conley index and tubular neighborhoods. II. ⋮ Partial functional differential equations and Conley index ⋮ Conley index continuation for some classes of RFDEs on manifolds

Cites Work

• Unnamed Item
• Conley index and tubular neighborhoods
• Morse decompositions in the absence of uniqeness.
• A cohomological index of Conley type for multi-valued admissible flows
• Singular dynamics of strongly damped beam equation
• The connection matrix theory for semiflows on (not necessarily locally compact) metric spaces
• The Morse index, repeller-attractor pairs and the connection index for semiflows on noncompact spaces
• Conley index continuation for singularly perturbed hyperbolic equations
• Nested sequences of index filtrations and continuation of the connection matrix
• Morse decompositions in the absence of uniqueness. II
• Conley index for discrete multi-valued dynamical systems
• Stability in general control systems
• Multiple solutions of indefinite elliptic systems via a Galerkin-type Conley index theory
• Continuation of the connection matrix in singular perturbation problems
• Continuation of the connection matrix for singularly perturbed hyperbolic equations

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