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Advances in Special Functions of Fractional Calculus: Special Functions in Fractional Calculus and Their Applications in Engineering

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Modified Adaptive Synchronization and Anti-Synchronization Method for Fractional Order Chaotic Systems with Uncertain Parameters

Author(s): S. K. Agrawal, Lalit Batra, V. Mishra* and D. Datta

Pp: 1-38 (38)

DOI: 10.2174/9789815079333123010003

* (Excluding Mailing and Handling)

Abstract

In the present article, we have investigated the Adaptive synchronization and Anti-synchronization between fractional order 3D autonomous chaotic system and novel 3D autonomous chaotic system with quadratic exponential term using Modified adaptive control method with unknown parameters. The modified adaptive control method is very affective and more convenient in comparison to the existing method for the synchronization of the fractional order chaotic systems. The chaotic attractors and synchronization 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 and anti-synchronization of autonomous chaotic systems. 

Keywords: Modified Adaptive control method, Synchronization and Anti-Synchronization; Fractional derivative, 3D autonomous chaotic systems, Unknown parameters.

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