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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