On a Class of Isotopic Connectivity of Gradient-like Maps of the 2-sphere with Saddles of Negative Orientation Type

DOI10.20537/nd190209zbMath1444.37017OpenAlexW2959289926WikidataQ127546214 ScholiaQ127546214MaRDI QIDQ5112914

Elena Nozdrinova, Timur V. Medvedev, Olga V. Pochinka, Elena Shadrina

Publication date: 9 June 2020

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd653

zbMATH Keywords

orientation-preserving diffeomorphismsgradient-likestable arcsink-source map

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) 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) Morse-Smale systems (37D15)

Related Items

Solution of the 33rd Palis-Pugh problem for gradient-like diffeomorphisms of a two-dimensional sphere

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