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

DOI10.3934/dcds.2020311zbMath1461.37044OpenAlexW3047694592MaRDI QIDQ1995533

Elena Nozdrinova, Olga V. Pochinka

Publication date: 24 February 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020311

zbMATH Keywords

flipsaddle-nodegradient-like diffeomorphismtwo-dimensional spherestable arc

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) Dynamical systems with hyperbolic orbits and sets (37D05) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Morse-Smale systems (37D15)

Related Items (4)

Components of stable isotopy connectedness of Morse-Smale diffeomorphisms ⋮ Bifurcations changing the homotopy type of the closure of an invariant saddle manifold of a surface diffeomorphism ⋮ Determination of the Homotopy Type of a Morse – Smale Diffeomorphism on a 2-torus by Heteroclinic Intersection ⋮ Stable Arcs Connecting Polar Cascades on a Torus

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