Chaos generation in hyperbolic systems

Date

2012-01-01

Author

Akhmet, Marat
FEN, MEHMET ONUR

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© 2012 L & H Scientific Publishing, LLC.In the present paper, we consider extension of chaos in hyperbolic systems with arbitrary large dimensions. Our investigations comprise chaos in the sense of both Devaney and Li-Yorke. We provide a mechanism for unidirectionally coupled systems through the insertion of chaos from one system to another, where the latter is initially nonchaotic. In our procedure for the chaos extension, we take advantage of chaotic sets of functions to provide mathematically approved results. The theoretical results are supported through the simulations for the extension of chaos generated by a Duffing's oscillator. A control procedure for the extended chaos is demonstrated numerically in the paper.

Subject Keywords

Chaos control, Chaotic attractor, Devaney chaos, Li-Yorke chaos

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85015555931&origin=inward
https://hdl.handle.net/11511/99025

Journal

Discontinuity, Nonlinearity, and Complexity

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet and M. O. FEN, “Chaos generation in hyperbolic systems,” Discontinuity, Nonlinearity, and Complexity, vol. 1, no. 4, pp. 367–386, 2012, Accessed: 00, 2022. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85015555931&origin=inward.