Synchronization between fractional order complex chaotic systems with uncertainty

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• 作者：Ajit K. Singh ; Vijay K. Yadav ; S. Das ; ^{sdas.apm@iitbhu.ac.in}
• 关键词：Chaotic system ; Synchronization ; Fractional derivative ; Complex T-system ; Complex Lorenz system ; Active control method
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：133
• 期：Complete
• 页码：98-107
• 全文大小：1039 K
• 卷排序：133

文摘

In this article, the synchronization between fractional order complex chaotic systems with uncertainty is considered using Active control method. Synchronization of the fractional order chaotic systems with uncertainty have already been studied in real variable, but for the case of complex variable it is first of its kind. Due to complexity and the presence of additional variables, it is more interesting and important for the researchers working on the real life problem. The fractional order complex Lorenz system and complex T-system are chosen to address the theoretical result in the presence of uncertain parameters. Numerical simulation is carried out using Adams-Bashforth-Moulton method for different particular cases, which reveals that the method is reliable and effective, even for fractional order complex chaotic systems, and in the presence of uncertain terms.