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arXiv · 1505.04453

Li-Yorke chaos in hybrid systems on a time scale

Marat Akhmet·Mehmet Onur Fen
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Abstract

By using the reduction technique to impulsive differential equations [1], we rigorously prove the presence of chaos in dynamic equations on time scales (DETS). The results of the present study are based on the Li-Yorke definition of chaos. This is the first time in the literature that chaos is obtained for DETS. An illustrative example is presented by means of a Duffing equation on a time scale.

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Marat Akhmet, Mehmet Onur Fen. 2015-09-04. Li-Yorke chaos in hybrid systems on a time scale. https://doi.org/10.1142/s0218127415400246

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