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Synchronization of a novel fractional order stretch-twist-fold (STF) flow chaotic system and its application to a new authenticated encryption scheme (AES)

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Abstract

In this paper, a new fractional order stretch-twist-fold (STF) flow dynamical system is proposed. The stability analysis of the proposed system equilibria is accomplished and we establish that the system is exhibited chaos even for order less than 3. The active control method is applied to enquire the hybrid phase synchronization between two identical fractional order STF flow chaotic systems. These synchronized systems are applied to formulate an authenticated encryption scheme newly for message (text and image) recovery. It is widely applied in the field of secure communication. Numerical simulations are presented to validate the effectiveness of the proposed theory.

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Acknowledgments

This work is supported by the University Grants Commission-Basic Science Research (UGC-BSR), Grant No: F.7-73/2007 (BSR), Government of India, New Delhi. It is also supported by the Project No: UM.C/625/1/HIR/MOHE/13, University of Malaya, Malaysia. The authors are very much thankful to the editors and anonymous reviewers for their careful reading, constructive comments, and fruitful suggestions to improve this manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Gandhigram Rural Institute-Deemed University, Gandhigram, Dindigul, Tamil Nadu, India

    P. Muthukumar & P. Balasubramaniam

  2. Institute of Mathematical Sciences, Faculty of Science, University of Malaya, 50603,  Kuala Lumpur, Malaysia

    K. Ratnavelu

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  1. P. Muthukumar
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  2. P. Balasubramaniam
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  3. K. Ratnavelu
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Correspondence to P. Balasubramaniam.

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Muthukumar, P., Balasubramaniam, P. & Ratnavelu, K. Synchronization of a novel fractional order stretch-twist-fold (STF) flow chaotic system and its application to a new authenticated encryption scheme (AES). Nonlinear Dyn 77, 1547–1559 (2014). https://doi.org/10.1007/s11071-014-1398-x

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  • DOI: https://doi.org/10.1007/s11071-014-1398-x

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