Bifurcation of a disappearance of a non-compact heteroclinic curve

DOI10.1007/S00029-023-00863-WzbMath1525.37048MaRDI QIDQ6111228

Valeriya I. Shmukler, Unnamed Author, Olga V. Pochinka

Publication date: 3 August 2023

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

zbMATH Keywords

saddle-node bifurcationMorse-Smale systemshyperbolic dynamicsheteroclinic curvestable arc

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

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• Necessary Conditions for Stability of Diffeomorphisms
• Three-manifolds admitting Morse-Smale diffeomorphisms without heteroclinic curves.

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