Li–Yorke Chaos in Hybrid Systems on a Time Scale
2015 ◽
Vol 25
(14)
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pp. 1540024
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Keyword(s):
By using the reduction technique to impulsive differential equations [Akhmet & Turan, 2006], 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.
2019 ◽
Vol 267
(7)
◽
pp. 4192-4223
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2012 ◽
Vol 385
(1)
◽
pp. 534-550
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Keyword(s):