Journal
PHYSICS LETTERS A
Volume 354, Issue 4, Pages 305-311Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physleta.2006.01.068
Keywords
chaos; synchronization; fractional-order system; fractional calculus; Lu system
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In this Letter we numerically investigate the chaotic behaviors of the fractional-order U system. A striking finding is that the lowest order for this system to have chaos is 0.3, which is the lowest-order chaotic system among all the found chaotic systems reported in the literature to date. Period-doubling routes to chaos in the fractional-order Lu system are also found. Master-slave synchronization of chaotic fractional-order Lu systems with linear coupling is also studied. (c) 2006 Elsevier B.V. All rights reserved.
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