Input-Output Mechanism of the Discrete Chaos Extension

Date

2014-08-09

Author

Akhmet, Marat

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In this chapter the extension of chaos in difference equations is discussed. The theoretical results are based on chaos in the sense of Devaney and period-doubling cascades. The existence of homoclinic and heteroclinic orbits is rigorously proved, and a theoretical control technique for the extended chaos is proposed. The results are supported with the aid of simulations. Arbitrarily high-dimensional chaotic discrete-time dynamical systems can be designed by means of the presented technique. A discrete gonorrhea model is utilized to generate chaotic behavior in population dynamics.

Subject Keywords

Li-Yorke chaos, Dynamical synthesis, Systems, Horseshoes, Maps

URI

https://hdl.handle.net/11511/32865

DOI

https://doi.org/10.1007/978-3-319-28764-5_7

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Department of Mathematics, Conference / Seminar

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Citation Formats

M. Akhmet, “Input-Output Mechanism of the Discrete Chaos Extension,” 2014, vol. 15, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32865.