Perturbations of nonhyperbolic algebraic automorphisms of the 2-torus

DOI10.1134/s0001434623070209zbMath1530.37042MaRDI QIDQ6063075

E. E. Chilina, D. I. Mints, Vyacheslav Z. Grines

Publication date: 7 November 2023

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

2-torusnonhyperbolic automorphismorientable heteroclinic set

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Periodic orbits of vector fields and flows (37C27) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Morse-Smale systems (37D15)

Cites Work

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• Dynamical systems on 2- and 3-manifolds
• The topological classification of cascades on closed two-dimensional manifolds
• The Dynamics of Morse-Smale Diffeomorphisms on the Torus
• Kantorovich–Rubinstein–Wasserstein distance between overlapping attractor and repeller
• On non-hyperbolic algebraic automorphisms of a two-dimensional torus
• Realization of homotopy classes of torus homeomorphisms by the simplest structurally stable diffeomorphisms

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