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Synchronization between fractional-order Ravinovich–Fabrikant and Lotka–Volterra systems

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Abstract

This article examines the synchronization performance between two fractional-order systems, viz., the Ravinovich–Fabrikant chaotic system as drive system and the Lotka–Volterra system as response system. 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 synchronization of nonlinear dynamical evolutionary systems. Effects on synchronization time due to the presence of fractional-order derivative are the key features of the present article.

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Authors and Affiliations

  1. Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi, 221 005, India

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

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  1. S. K. Agrawal
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  2. M. Srivastava
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  3. S. Das
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Correspondence to S. Das.

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Agrawal, S.K., Srivastava, M. & Das, S. Synchronization between fractional-order Ravinovich–Fabrikant and Lotka–Volterra systems. Nonlinear Dyn 69, 2277–2288 (2012). https://doi.org/10.1007/s11071-012-0426-y

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  • DOI: https://doi.org/10.1007/s11071-012-0426-y

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