Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 359, Issue -, Pages 107-118Publisher
ELSEVIER
DOI: 10.1016/j.physa.2005.04.040
Keywords
chaos; synchronization; fractional-order system; fractional calculus
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In this paper, based on the idea of nonlinear observer and stability theory of fractional-order systems, a new systematic scheme to synchronize a class of fractional-order chaotic systems via a scalar transmitted signal is developed. The approach is simple, global and theoretically rigorous. It enables synchronization of fractional-order chaotic systems to be achieved in a systematic way and does not require the computation of the conditional Lyapunov exponents. Simulation results are used to visualize and illustrate the effectiveness of the proposed synchronization method. (c) 2005 Elsevier B.V. All rights reserved.
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