Morse index of saddle equilibria of gradient-like flows on connected sums of \(\mathbb{S}^{n-1}\times \mathbb{S}^1\)

DOI10.1134/S0001434622030312zbMath1497.37027OpenAlexW3213512979MaRDI QIDQ2133847

E. Ya. Gurevich, Vyacheslav Z. Grines

Publication date: 5 May 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434622030312

zbMATH Keywords

Morse indextopological classificationgradient-like flow

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Generic properties, structural stability of dynamical systems (37C20) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Index theory for dynamical systems, Morse-Conley indices (37B30) Stability theory for smooth dynamical systems (37C75)

Related Items (1)

A combinatorial invariant of gradient-like flows on a connected sum of $\mathbb{S}^{n-1}\times\mathbb{S}^1$

Cites Work

• Topological classification of Morse-Smale diffeomorphisms without heteroclinic intersections
• On gradient dynamical systems
• Morse inequalities for a dynamical system
• On topological classification of Morse–Smale diffeomorphisms on the sphere S ⁿ (n > 3)
• Differentiable dynamical systems
• Three-manifolds admitting Morse-Smale diffeomorphisms without heteroclinic curves.
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