The Research of Sequence Shadowing Property and Asymptotic Average Shadowing Property in Nonautonomous Dynamical Systems
It is introduced that the concept of sequence shadowing property,asymptotic average shadowing property and strong chain recurrent point in the nonautonomous dynam-ical system.Then,we study the dynamic properties of sequence tracking and asymptotic average tracking and the topological structure of strong chain recurrent point sets in nonau-tonomous dynamical systems.If the sequence maps F={fk}∞k=0 is topologically conjugate to sequence maps G={gk}∞k=0,then the following results can be obtained.1)F has sequence shadowing property if and only if G has sequence shadowing property;2)F has asymptotic average shadowing property if and only if G has asymptotic average shadowing property;3)h(SCR(F))=SCR(G).
nonautonomous dynamical systemsasymptotic average shadowing propertystrong chain recurrent point set
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