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Input-Output Mechanism of the Discrete Chaos Extension
Date
2014-08-09
Author
Akhmet, Marat
Fen, Mehmet Onur
Metadata
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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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
Collections
Department of Mathematics, Conference / Seminar