Li-yorke chaos in hybrid systems on a time scale

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1505.04453.pdf

Date

2015-12-30

Author

Akhmet, Marat
Fen, Mehmet Onur

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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.

Subject Keywords

Li-Yorke chaos;, Dynamic equations on time scales;, Proximality;, Frequent separation;, Duffing equation;, Hybrid systems

URI

https://hdl.handle.net/11511/28630

Journal

Internatıonal Journal Of Bıfurcatıon And Chaos

DOI

https://doi.org/10.1142/S0218127415400246

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet and M. O. Fen, “Li-yorke chaos in hybrid systems on a time scale,” Internatıonal Journal Of Bıfurcatıon And Chaos, 2015, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/28630.