Transient chaos analysis of a modified Sprott-C system with hidden attractor and multistability

In this paper, a modified Sprott-C chaotic system is proposed, which shows rich dynamic behaviors. Firstly, the Poincare section and power spectrum are used to analyze the chaotic characteristics of the system with given parameters. And then the type and stability of the equilibrium points of the system are analyzed. When the system contains stable equilibrium points, the transient chaos of the system is analyzed by introducing a simplified model of z-axis time series. When the z-axis time series of the system reaches the maximum value M
m
, the system trajectory collides with the edge of the basin of chaos, which leads to the transient chaos. Finally, The multistability of the system is analyzed, When the initial points are different, the chaotic attractor and periodic attractor coexist, and the chaotic attractor is the hidden attractor.