Journal
APPLIED MATHEMATICS LETTERS
Volume 24, Issue 11, Pages 1938-1944Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2011.05.025
Keywords
Fractional order; Hyperchaotic Chen system; Routh-Hurwitz conditions; Hyperchaos; Synchronization
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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. (C) 2011 Elsevier Ltd. All rights reserved.
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