The existence of an invariant stable foliation and the problem of reducing to a one-dimensional map

DOI10.3792/pjaa.59.126zbMath0522.58039OpenAlexW2009267007MaRDI QIDQ5902685

Michiko Yuri

Publication date: 1983

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.59.126

zbMATH Keywords

multiplicative ergodic theoremPoincare mapeigenvalues of the tangent mapstwo-dimensional attractor

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Dynamical systems with hyperbolic behavior (37D99)

Cites Work

• A construction of an invariant stable foliation by the shadowing lemma
• Ergodic theory of differentiable dynamical systems
• The dynamics of density dependent population models
• Deterministic Nonperiodic Flow
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