Chaotic fractional-order Coullet system: Synchronization and control approach |
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| Affiliation: | 1. Intelligent System Research Group, Faculty of Electrical and Computer Engineering, Babol (Noshirvani) University of Technology, P.O. Box 47135-484, Babol, Iran;2. Golestan University, P.O. Box 49138-15739, Gorgan, Iran;3. Department of Mathematics, Mutah University, P.O. Box: 7, Al-Karak, Jordan;1. Department of Mathematics, Thiruvalluvar University, Vellore - 632 115, India;2. Ramanujan Centre for Higher Mathematics, Alagappa University, Karaikudi - 630 004, India;3. School of Mathematical Sciences and Institute of Finance and Statistics, Nanjing Normal University, Nanjing, 210023, Jiangsu, China;4. Department of Mathematics, University of Bielefeld, Bielefeld D-33615, Germany;5. School of Mathematics and Information Technology, Nanjing Xiaozhuang University, Nanjing, 211171, Jiangsu, China |
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| Abstract: | The main objective of this study is to investigate and control the chaotic behaviour of fractional-order Coullet system, including the necessary condition for appearance of chaos. An active control technique, in a master–slave structure for synchronization is suggested to control this chaotic system. The stability condition is obtained in both of theoretical analysis and simulation manner. The numerical simulation verifies the performance of the proposed controller. |
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