科研之友
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摘要
In this paper, a new three-dimension chaotic system is constructed by adding an absolute item in the system, and the dynamic properties of the new system are investigated. Then, by virtue of the chaos theory and the numerical simulation, the equilibrium point, the Lyapunov dimension, the Poincare´section, the largest Lyapunov exponent spectrum and the bifurcation diagram of the system are analyzed. It is indicated that the proposed three-dimension autonomous system exhibits chaotic features in a wide parameter range and is of fractional dimension, multiple unstable equilibrium points and layered Poincare´mapping. Moreover, Owing to its complex dynamic properties, the system can generate four-wing chaotic attractors.
