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Dynamical behaviors and synchronization in the fractional order hyperchaotic Chen system

✍ Scribed by A.S. Hegazi; A.E. Matouk

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 592 KB
Volume: 24
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2011.05.025

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✦ Synopsis

Some dynamical behaviors are studied in the fractional order hyperchaotic Chen system which shows hyperchaos with order less than 4. The analytical conditions for achieving synchronization in this system via linear control are investigated theoretically by using the Laplace transform theory. Routh-Hurwitz conditions and numerical simulations are used to show the agreement between the theoretical and numerical results. To the best of our knowledge this is the first example of a hyperchaotic system synchronizable just in the fractional order case, using a specific choice of controllers.

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