A representation of one-dimensional attractors of \(A\)-diffeomorphisms by hyperbolic homeomorphisms

DOI10.1007/BF02356065zbMath0917.58030MaRDI QIDQ1277420

Vyacheslav Z. Grines

Publication date: 5 August 1999

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

zbMATH Keywords

attractorclosed surfacepseudo-Anosov diffeomorphisms\(A\)-diffeomorphisms

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems with hyperbolic behavior (37D99)

Related Items

Dynamical Systems with Nontrivially Recurrent Invariant Manifolds ⋮ Two-dimensional attractors of A-flows and fibred links on three-manifolds ⋮ The dynamical core of a homoclinic orbit

Cites Work

• On the relationship between one-dimensional hyperbolic attractors of surface diffeomorphisms and generalized pseudo-Anosov diffeomorphisms
• Structural stability and asymptotic behavior of invariant manifolds of \(A\)-diffeomorphisms of surfaces
• The topological classification of cascades on closed two-dimensional manifolds
• On the geometry of hyperbolic attractors of smooth cascades
• On the geometry and dynamics of diffeomorphisms of surfaces
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