The chain recurrent set, attractors, and explosions

DOI10.1017/S0143385700002972zbMath0572.54037MaRDI QIDQ3689873

John E. Franke, Louis Stuart Block

Publication date: 1985

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

zbMATH Keywords

periodic pointsnon-wandering setchain recurrent setchain recurrent point\(\Omega \) -explosionscontinuous map of a compact metric space

Mathematics Subject Classification ID

Ergodic theory (37A99)

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Cites Work

• Unnamed Item
• Continuous maps of the circle without periodic points
• \(\omega\)-limit sets for axiom A diffeomorphisms
• Beyond hyperbolicity
• The Chain Recurrent Set for Maps of the Interval
• On the Iterations of Diffeomorphisms without C 0 -Ω-Explosions: An Example
• Filtrations, Decompositions, and Explosions
• Explosions in Completely Unstable Flows. I Preventing Explosions
• On Limits Sets in Dynamical Systems

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