Constructing a new four-dimensional chaotic system by introducing the variable w in the Shimizu-Morioka system.The system can produce hidden attractors without equilibrium points and self-excited attractors with unstable saddle points when the parameters are different.By analysing the basic dynamical properties of the system such as attractor phase diagrams and bifurcation di-agrams,and calculating the Lyapunov exponential spectrum and complexity,it is found that the system produces period-doubling,period-doubling reversals and changes in attractor morphology as the parameters are varied.When the parameters of the system are fixed and the initial conditions are changed,the system appears to have many types of coexisting attractors.These include coexistence of same type of periodic attractors,coexistence of different types of periodic attractors,coexistence of single-winged chaotic attract-ors,coexistence of double-winged chaotic attractors,coexistence of different types of chaotic attractors,and coexistence of periodic attractors and chaotic attractors.Thus the system generates the phenomenon of multistability.Finally,the implementation of the simu-lation circuit for the chaotic system is carried out using Multisim software.
维普
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