Topological classification of structurally stable 3-diffeomorphisms with two-dimensional basis sets

DOI10.1134/S0001434615010344zbMath1371.37051MaRDI QIDQ2353741

Yu. A. Levchenko, Vyacheslav Z. Grines, Olga V. Pochinka

Publication date: 16 July 2015

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

zbMATH Keywords

attractorrepellernonwandering setbasis set\(A\)-diffeomorphismstructurally stable 3-diffeomorphism

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Stability theory for smooth dynamical systems (37C75) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Cites Work

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• Nonexpanding attractors: conjugacy to algebraic models and classification in 3-manifolds
• On the existence of codimension-one nonorientable expanding attractors
• On structurally stable diffeomorphisms with codimension one expanding attractors
• On Codimension One Anosov Diffeomorphisms
• Expanding attractors

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