Li-Yorke chaos in hybrid systems on a time scale
classification
🌊 nlin.CD
math.DS
keywords
chaostimedetsequationsli-yorkescaledefinitiondifferential
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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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