On Conley's fundamental theorem of dynamical systems

DOI10.1155/S0161171204202125zbMath1068.37008arXivmath/0009184OpenAlexW2131340660MaRDI QIDQ1774759

Mohammad Reza Razvan

Publication date: 18 May 2005

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0009184

zbMATH Keywords

Lyapunov functionisolated invariant setMorse decompositionConley index theory

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items (3)

Equivariant Morse equation ⋮ Spectral splittings in the Conley index theory ⋮ Intrinsic shape of the chain recurrent set

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