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A NOTE ON TOPOLOGICAL PROPERTIES IN MULTI-VALUED DYNAMICAL SYSTEMS

A NOTE ON TOPOLOGICAL PROPERTIES IN MULTI-VALUED DYNAMICAL SYSTEMS

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In this article, we investigate the transitivity and chain transitivity on multi-valued dynamical systems. For compact-valued continuous dynamics, we prove that the notion of transitivity is expressed by the notions of the shadowing property and chain transitivity under locally maximal condition.

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