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368 Mathematical Techniques of Fractional Order Systems

12.4 CONCLUSION
The present article has successfully demonstrated the dual combination
synchronization among four fractional order drive systems and two fractional
order response systems using scaling matrices separately. Based on the
stability analysis, the dual combination synchronization of chaotic systems
through controller input parameters on the respective system has been
achieved and the components of the error system tend to zero as time
becomes large, which helps to find the time required for dual combination
synchronization among chaotic systems. Numerical simulation results are
given to exhibit the reliability and effectiveness of the proposed dual
combination synchronization scheme towards predicting the accuracy of
the theory.

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