A New Type of Combination Synchronization among Multiple Chaotic Systems. (23rd May 2019)

• Record Type: Journal Article
• Authors: Wang, Xingxu; Sun, Lin; Wang, Bingji; Huang, Tousheng
• Other Names: Benito Rosa M. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2019(2019)
• Publication Date: 2019-05-23
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2019/8262654
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : Based on former combination synchronization studies, a new type of combination synchronization approach is developed in this research, with the consideration of parallel combination of drive systems. This new synchronization approach is referred to as combination synchronization-II. As a representative case, the combination synchronization-II between three drive systems and one response system is studied. Applying Lyapunov stability theorem and active backstepping design, sufficient conditions for the proposed combination synchronization approach are derived. Numerical simulations are performed to show the feasibility and effectiveness of the proposed approach. Based on the investigation in this research, the proposed approach provides an applicable method for designing universal combination synchronization among multiple chaotic systems.