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

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.