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Abstract
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In this manuscript, we consider a new fractional order chaotic system which exhibits interesting behavior
such as two, three, and four scrolls. Such systems can be found extensively in mechatronics and power
electronic systems which exhibit self-sustained oscillations. Synchronization between two such systems
is an interesting problem either theoretically or practically. Using a sliding mode control methodology,
we synchronize a unidirectional coupling structure for the two chaotic systems. Numerical simulations
are used to verify the theoretical analysis. Additionally, we report the robustness of the system in the
presence of a noise in simulation.
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