Achieving synchronization between the fractional-order hyperchaotic Novel and Chen systems via a new nonlinear control technique |
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Institution: | 1. Mathematics Department, Faculty of Science, Hail University, Hail, 2440, Saudi Arabia;2. Department of Basic Science, Faculty of Computers and Informatics, Ismailia, 41522, Suez Canal University, Egypt |
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Abstract: | In this work, we discuss the stability conditions for a nonlinear fractional-order hyperchaotic system. The fractional-order hyperchaotic Novel and Chen systems are introduced. The existence and uniqueness of solutions for two classes of fractional-order hyperchaotic Novel and Chen systems are investigated. On the basis of the stability conditions for nonlinear fractional-order hyperchaotic systems, we study synchronization between the proposed systems by using a new nonlinear control technique. The states of the fractional-order hyperchaotic Novel system are used to control the states of the fractional-order hyperchaotic Chen system. Numerical simulations are used to show the effectiveness of the proposed synchronization scheme. |
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Keywords: | Fractional order Hyperchaotic Novel system Hyperchaotic Chen system Stability conditions Synchronization |
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