Chaos in fractional-order Genesio-Tesi system and its synchronization |
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| Authors: | Mohammad Reza Faieghi |
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| Institution: | a Department of Electrical Engineering, Miyaneh Branch, Islamic Azad University, Miyaneh, Iran
b Islamic Azad University, Toyserkan Branch, Young Researchers Club, Toyserkan, Iran |
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| Abstract: | In this paper we study the chaotic dynamics of fractional-order Genesio-Tesi system. Theoretically, a necessary condition for occurrence of chaos is obtained. Numerical investigations on the dynamics of this system have been carried out and properties of the system have been analyzed by means of Lyapunov exponents. It is shown that in case of commensurate system the lowest order of fractional-order Genesio-Tesi system to yield chaos is 2.79. Further, chaos synchronization of fractional-order Genesio-Tesi system is investigated via two different control strategies. Active control and sliding mode control are proposed and the stability of the controllers are studied. Numerical simulations have been carried out to verify the effectiveness of controllers. |
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| Keywords: | The Genesio-Tesi system Fractional-order chaotic system Lyapunov exponent Chaos synchronization Active control Sliding mode control |
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