대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제22권4호
  • /
  • Pages.575-586
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  • 2007
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  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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CHAIN RECURRENCE AND ATTRACTORS IN GENERAL DYNAMICAL SYSTEMS

  • 발행 : 2007.10.31
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초록

We introduce here notions of chain recurrent sets, attractors and its basins for general dynamical systems and prove important properties including (i) the chain recurrent set CR(f) of f on a metric space (X, d) is the complement of the union of sets B(A) -A as A varies over the collection of attractors and (ii) genericity of general dynamical systems.

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참고문헌

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피인용 문헌

  1. Conley's theorem for dispersive systems vol.8, pp.2, 2015, https://doi.org/10.3934/dcdss.2015.8.313
  2. Random chain recurrent sets for random dynamical systems vol.24, pp.4, 2009, https://doi.org/10.1080/14689360903164173