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Investigation of Q-S synchronization in coupled chaotic incommensurate fractional order systems |
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| Authors: | Adel Ouannas Zaid Odibat Ahmed Alsaedi Aatef Hobiny Tasawar Hayat |
| Institution: | 1. LAMIS Laboratory, Department of Mathematics and Computer Science, University of Tebessa, Algeria;2. School of Basic Sciences and Humanities, German Jordanian University, Amman 11180, Jordan;3. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;4. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan |
| Abstract: | Chaos and synchronization in fractional order systems have received increasing attention in recent years. In this paper, the problem of Q-S synchronization for different dimensional incommensurate fractional order chaotic systems is investigated. Based on Laplace transform and stability theory of linear integer order differential systems, some synchronization schemes are designed to achieve Q-S synchronization between n-D and m-D incommensurate fractional order chaotic systems. Test problems and numerical simulations are used to show the effectiveness of the proposed approach. |
| Keywords: | Chaos Q-S synchronization Incommensurate system Fractional order system Caputo fractional derivative Stability Control |
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