On the solution of the 33rd Palis–Pugh problem for gradient-like diffeomorphisms of a 2-sphere

DOI10.1070/RM9913zbMath1447.37029OpenAlexW3017707428MaRDI QIDQ3305706

Olga V. Pochinka, Elena Nozdrinova

Publication date: 10 August 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9913

zbMATH Keywords

non-wandering setMorse-Smale systemsdynamics of a diffeomorphismstable isotopic connectedness

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Generic properties, structural stability of dynamical systems (37C20) 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) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Morse-Smale systems (37D15)

Related Items (1)

Hyperbolic Roussarie fields with degenerate quadratic part

Cites Work

• Dynamical systems on 2- and 3-manifolds
• Bifurcations and stability of families of diffeomorphisms
• Invariants of the NPT isotopy classes of Morse-Smale diffeomorphisms of surfaces
• Bifurcations of Morse-Smale diffeomorphisms with wildly embedded separatrices
• Rotation Number as a Complete Topological Invariant of a Simple Isotopic Class of Rough Transformations of a Circle

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