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The paper firstly analyzes a four-wing chaotic attractor which is reported recently. Then, a fractional-order chaotic attractor can be obtained based on the four-wing chaotic system. When vary, the dynamics of the fractional-order chaotic attractor are very complex, not only can the four-wing chaotic attractor be observed by numerical simulation, but also some typical periodic attractors can be found...
We propose a modified Susceptible-Infected-Susceptible (SIS) model to analyze the influence of the distributed infection rate on the epidemic spreading behavior in complex networks. Unlike the traditional SIS model, the spreading rate is assumed to take several typical distributions, such as two-point, uniform and exponential distributions. This kind of distributed spreading rate can characterize...
The paper firstly analyzes a three-wing or four-wing chaotic attractor which is reported recently. When vary, the dynamics of the chaotic attractor are very complex, not only can the three-wing or four-wing chaotic attractor be observed by numerical simulation, but also some typical periodic attractors can be found. In addition, an analog circuit is also made for the three-wing or four-wing chaotic...
The third equation of hyperchaotic system are modified and polarities are made double for z axis to enhance the complexity of attractors' topological structure. The attractors' structure of the system varies from two-wings to four-wings. Theoretical analyses and numerical simulation are carried out to the novel hyperchaotic system; it has two positive Lyapunov exponents by calculation. Other more,...
A new 3D quadratic autonomous chaotic system is reported in this paper, which contains five system parameters and three quadratic cross-product terms, and the system can generate a pair of coexisting diagonal double-wing chaotic attractors with wide parameters ranges. Some basic dynamical behaviors of the new chaotic system are investigated. The Hopf bifurcation process is proved to arise at certain...
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