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中文摘要：
研究了一个新的复杂的四维混沌系统,该系统每个方程中包含一个三次乘积项,有9个平衡点,它们相对于原点和坐标轴具有完美的对称性,并且相对于线性特性有很好的相似性.基于稳定性理论,通过选取正确的初始值和合适的观测器,迅速、精确地辨识该系统的未知参数.此方法可以推广应用于一类连续动力系统.数值仿真证明了该方法的正确性和有效性.
英文摘要：
A new four-dimensional continuous autonomous chaotic system was introduced,in which each equation in the system contains a 3-term cross product.Some basic dynamical behaviors and a complex structure of the new system were theoretically investigated.At the same time,based on the stability theory,an accurate and fast identification was made by selecting right initial values and suitable observers were given to identify any uncertain parameters of this new four-dimensional continuous autonomous chaotic system.In addition,this method could be applied to a class of nonlinear chaotic and hyperchaotic flows.Numerical simulations were also given to demonstrate the effectiveness of the proposed general scheme for parameter identification.
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