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Some properties for the attractors

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Publication:1609687
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DOI10.1007/BF02880131zbMath0993.37014OpenAlexW1562626161MaRDI QIDQ1609687

Zuo-huan Zheng

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02880131

zbMATH Keywords

invariant setsattractorconnected componentcontinuous flowslocally connected compact Hausdorff invariant set


Mathematics Subject Classification ID

Topological dynamics (37B99)


Related Items

Generating two simultaneously chaotic attractors with a switching piecewise-linear controller, Chain transitivity and uniform persistence., The existence of attractors and strongly gradient-like flows, Some properties of attractors and quasi-attractors



Cites Work

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  • The existence of trajectories joining critical points
  • The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold
  • Constructing structurally stable diffeomorphisms
  • Morse inequalities for a dynamical system
  • Abstract ω-Limit Sets, Chain Recurrent Sets, and Basic Sets for Flows
  • Explosions in Completely Unstable Flows. I Preventing Explosions
  • The gradient structure of a flow: I
  • Isolated Invariant Sets and Isolating Blocks
  • Isolated Invariant Sets for Flows on Vector Bundles
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