• 제목/요약/키워드: cyclically bishadowing

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CHAOTIC BEHAVIOUR OF CHAIN COMPONENTS IN BISHADOWING SYSTEMS

  • Park, Tae-Young;Lee, Keon-Hee
    • 대한수학회지
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    • 제38권3호
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    • pp.613-621
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    • 2001
  • 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]).

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