Realizability of the morse polytope

DOI10.1007/BF02972668zbMath1119.37017OpenAlexW2012675591MaRDI QIDQ996112

Ricardo Nogueira da Cruz, Ketty Abaroa de Rezendre, Margarida Pinheiro Mello

Publication date: 11 September 2007

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02972668

zbMATH Keywords

network flowsLyapunov graphsPoincaré-Hopf inequalitiesMorse flows

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 (4)

Duality and the Poincaré-Hopf inequalities ⋮ Spectral sequences in Conley’s theory ⋮ Poincaré-Hopf inequalities for periodic orbits ⋮ A global two-dimensional version of Smale’s cancellation theorem via spectral sequences

Cites Work

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• Isolating blocks for Morse flows
• Nonsingular Smale flows on \(S^ 3\)
• Continuation to gradient flows
• Smale Flows on the Three-Sphere
• Poincare-Lefschetz Duality for the Homology Conley Index
• Cycle rank of Lyapunov graphs and the genera of manifolds
• Gradient-like flows on high-dimensional manifolds
• Lyapunov Graphs and Flows on Surfaces
• Lyapunov graph continuation
• The octonions
• Poincaré–Hopf and Morse inequalities for Lyapunov graphs
• Gradient-like flows on 3-manifolds
• Poincaré-Hopf inequalities

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