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International Journal of Differential Equations
Volume 2011, Article ID 250763, 13 pages
Research Article

Antisynchronization of Nonidentical Fractional-Order Chaotic Systems Using Active Control

1Department of Mathematics, Shivaji University, Vidyanagar, Kolhapur 416004, India
2Department of Mathematics, University of Pune, Ganeshkhind, Pune 411007, India

Received 7 May 2011; Accepted 16 July 2011

Academic Editor: Wen Chen

Copyright © 2011 Sachin Bhalekar and Varsha Daftardar-Gejji. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Antisynchronization phenomena are studied in nonidentical fractional-order differential systems. The characteristic feature of antisynchronization is that the sum of relevant state-variables vanishes for sufficiently large value of time variable. Active control method is used first time in the literature to achieve antisynchronization between fractional-order Lorenz and Financial systems, Financial and Chen systems, and Lü and Financial systems. The stability analysis is carried out using classical results. We also provide numerical results to verify the effectiveness of the proposed theory.