On spectral decomposition of Smale–Vietoris axiom A diffeomorphisms

DOI10.1080/14689367.2016.1183590zbMath1379.37065arXiv1405.5064OpenAlexW2964002653WikidataQ114010602 ScholiaQ114010602MaRDI QIDQ5278384

N. V. Isaenkova, Evgeny Zhuzhoma

Publication date: 19 July 2017

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.5064

zbMATH Keywords

bifurcationbasic setsolenoid attractoraxiom-A endomorphism

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Infinite nonwandering sets arising in bifurcations of dynamical systems (37G30)

Cites Work

• New attractors in hyperbolic dynamics
• Classification of expanding attractors: an example
• The realization of Smale solenoid type attractors in 3-manifolds
• One-dimensional non-wandering sets
• Multiplications in solenoids as hyperbolic attractors
• GENUS TWO SMALE–WILLIAMS SOLENOID ATTRACTORS IN 3-MANIFOLDS
• Transversely Wild Expanding Attractors
• 3-manifolds that admit knotted solenoids as attractors
• Stretch, Twist, Fold: The Fast Dynamo
• Endomorphisms of Compact Differentiable Manifolds
• Differentiable dynamical systems
• Expanding attractors

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