Criterion for the existence of a connected characteristic space of orbits in a gradient-like diffeomorphism of a surface

DOI10.4213/im9373ezbMATH Open1548.37062MaRDI QIDQ6568713

Unnamed Author, Olga V. Pochinka, Ekaterina V. Tsaplina

Publication date: 8 July 2024

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

attractorrepellergradient-like diffeomorphismcharacteristic space of orbits

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Stability theory for smooth dynamical systems (37C75) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

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• Classification of Morse–Smale systems and topological structure of the underlying manifolds
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