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Anti-synchronization between identical and non-identical fractional-order chaotic systems using active control method

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Abstract

This article deals with the anti-synchronization between two identical chaotic fractional-order Qi system, Genesio–Tesi system, and also between two different fractional-order Genesio–Tesi and Qi systems using active control method. The chaotic attractors of the systems are found for fractional-order time derivatives described in Caputo sense. Numerical simulation results which are carried out using Adams–Boshforth–Moulton method show that the method is reliable and effective for anti-synchronization of nonlinear dynamical evolutionary systems.

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Acknowledgments

The research was supported by Hong Kong Research Council GRF Grant #115712. The second author S.P. Ansari is extending her heartfelt thanks to the TCS, India for selecting her as TCS Research Scholar of the TCS Research Scholar Program.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi, 221005, India

    M. Srivastava, S. P. Ansari, S. K. Agrawal & S. Das

  2. Department of Civil and Architectural Engineering, City University of Hong Kong, Hong Kong, China

    A. Y. T. Leung

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  1. M. Srivastava
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  2. S. P. Ansari
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  3. S. K. Agrawal
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Correspondence to A. Y. T. Leung.

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Srivastava, M., Ansari, S.P., Agrawal, S.K. et al. Anti-synchronization between identical and non-identical fractional-order chaotic systems using active control method. Nonlinear Dyn 76, 905–914 (2014). https://doi.org/10.1007/s11071-013-1177-0

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  • DOI: https://doi.org/10.1007/s11071-013-1177-0

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