On classification of classical and half-orientable horseshoes in terms of boundary points

MaRDI QIDQ6653636

S. V. Gonchenko, A. S. Gonchenko, Mikhail Malkin

Publication date: 16 December 2024

Published in: Nelineĭnaya Dinamika (Search for Journal in Brave)

zbMATH Keywords

hyperbolic setSmale horseshoelocal topological conjugacystandard and generalized Hénon maps

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems with hyperbolic behavior (37Dxx)

Cites Work

• Shift automorphisms in the Henon mapping
• How often do simple dynamical processes have infinitely many coexisting sinks?
• Bounded nonwandering sets for polynomial mappings
• PLANE MAPS WITH DENOMINATOR I: SOME GENERIC PROPERTIES
• GENERALIZED HÉNON MAPS AND SMALE HORSESHOES OF NEW TYPES
• Towards a classification of linear and nonlinear Smale horseshoes
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