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Chain transitivity and uniform persistence.

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Publication:1419040
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DOI10.1016/S0960-0779(02)00047-4zbMath1048.37011OpenAlexW2041349691MaRDI QIDQ1419040

Tusen Huang, Zuo-huan Zheng

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00047-4


zbMATH Keywords

uniform persistenceattractivitycontinuous mapchain transitivitystrong repellers


Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)




Cites Work

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  • \(\omega\)-limit sets for axiom A diffeomorphisms
  • Stability theorems and hyperbolicity in dynamical systems
  • Dynamics of a periodically pulsed bio-reactor model
  • Uniform persistence and flows near a closed positively invariant set
  • Attractor, chain recurrent set and limit set of flow
  • Some properties for the attractors
  • Generalized ergodicity
  • Persistence in Infinite-Dimensional Systems
  • Chain transitivity and Lipschitz ergodicity
  • Persistence in dynamical systems
  • Chain transitivity, attractivity, and strong repellors for semidynamical systems


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