• Journal of the Korean Mathematical Society
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• v.38 no.3
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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]).