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Synchronization between fractional order complex chaotic systems

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Abstract

In this article, the authors have studied synchronization between a pair of fractional order complex systems viz., Lorenz and Lu systems, Lu and T systems, Lorenz and T systems using active control method. The numerical results and simulation show that this method is effective to synchronize the fractional order complex dynamical systems. The main feature of the article is the comparison of time of synchronization when pair of systems approach from integer order to fractional order. The numerical results are carried out using MATLAB.

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Acknowledgments

The authors of the article express their thankful to the revered reviewers for their valuable suggestions for the improvement of the article. The first and second authors acknowledge the financial support from the UGC, New Delhi, India under the Senior Research Fellowship Scheme.

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Authors and Affiliations

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

    Ajit K. Singh, Vijay K. Yadav & S. Das

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  1. Ajit K. Singh
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  2. Vijay K. Yadav
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  3. S. Das
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Correspondence to S. Das.

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Singh, A.K., Yadav, V.K. & Das, S. Synchronization between fractional order complex chaotic systems. Int. J. Dynam. Control 5, 756–770 (2017). https://doi.org/10.1007/s40435-016-0226-1

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  • DOI: https://doi.org/10.1007/s40435-016-0226-1

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