대한수학회지 (Journal of the Korean Mathematical Society)

  • 제38권3호
  • /
  • Pages.613-621
  • /
  • 2001
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

CHAOTIC BEHAVIOUR OF CHAIN COMPONENTS IN BISHADOWING SYSTEMS

  • Park, Tae-Young (Department of Mathematics, Chungnam National University) ;
  • Lee, Keon-Hee (Department of Mathematics, Chungnam National University)
  • 발행 : 2001.05.01
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초록

In this paper we show that if a dynamical system $\phi$ has bishadowing and cyclically bishadowing properties on the chain recurrent set CR($\phi$) then all nearby continuous perturbations of $\phi$ behave chaotically on a neighborhood of each chain component of $\phi$ wheneer it has a fixed point. This is a generalization of the results obtained by Diamond et al.([3]).

키워드

참고문헌

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