Simplified method and synchronization for a class of complex chaotic systems. (28th November 2019)

• Record Type: Journal Article
• Authors: Huang, Lilian; Zhang, Zefeng; Xiang, Jianhong
• Is Part Of: Mathematical methods in the applied sciences. Volume 43:Number 4(2020)
• Page Start: 1857
• Page End: 1867
• Publication Date: 2019-11-28
• Subjects: chaotic synchronization control -- complex chaotic system -- complex Lorenz system -- linear correlation -- simplified method; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6008
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract: This paper is devoted to investigate a class of complex chaotic systems and a linear correlation between the real and imaginary component of complex variables in these systems is found. Based on this linear relationship, a simplified law is proposed. First, complex Lorenz system is given to show the linear correlation, then it is simplified. Second, a simplified law is proposed to determine whether the complex system can be simplified, and the complex Lü system and hyperchaotic complex Lü system are used to verify the simplified law. Finally, a new synchronization control is proposed to synchronize complex Lorenz system and real Lorenz system. The theoretical analysis and numerical simulation prove the feasibility and better performance of this method.