Analysis and finite-time synchronization of a novel double-wing chaotic system with transient chaos

• Published in: Physica A 2022-09, Vol.602, p.127652, Article 127652
• Main Authors: Yan, Shaohui, Wang, Ertong, Gu, Binxian, Wang, Qiyu, Ren, Yu, Wang, Jianjian
• Format: Article
• Language: English
• Subjects: Chaotic system; Double-wing attractors; Finite-time synchronization; Transient chaos
• ISSN: 0378-4371; 1873-2119
• DOI: 10.1016/j.physa.2022.127652

A chaotic system that can generate double-wing attractor is proposed. Through the analysis of Lyapunov exponents, bifurcation diagram, phase diagram and complexity, it is found that the system has rich dynamical phenomenon. The topological structure of the system will change with the change of parameters, which is analyzed by using two-parameter space. In addition, the novel system has phenomenon such as offset-boosting, transient chaos and coexisting attractors. The analog simulation circuit of the system is designed based on Multisim, and the actual digital circuit is realized with field programmable gate array (FPGA). The experimental phase diagram, numerical simulation results and simulation circuit results agree well, which prove the feasibility of the chaotic system. Finally, a controller is designed according to finite-time theory to achieve finite-time synchronization of systems with different structures. The simulation results are consistent with the theoretical analysis, which proves the feasibility of the controller and lays the foundation for the next application research. •A chaotic system that can generate double-wing attractor is proposed. The new system has rich daynamic phenomena such as offset-boosting, topological changes, transient chaos and coexistence.•The initial condition suitable for secure communication are obtained by using complexity algorithm.•Real digital circuit of the new system is implemented using FPGA.•A controller was designed to achieve finite-time synchronization of the new type of system with a different structure.