中文摘要：

为了研究具有双奇异吸引子特性的混沌系统——Newton—Leipnik（N—L）系统的动力学复杂性，首先对其进行了对称性、平衡点特性等初步分析，然后给出了不同截面上的庞加莱截面图形、李亚普诺夫指数图、倍周期过渡到混沌的分岔图，认为系统具有正的最大Lyapunov指数，系统的维数值为分数维．研究结果表明，N—L系统具有复杂的混沌动力学特性．

英文摘要：

In order to investigate the dynamical complexity of chaotic system with double strange attractors, Newton-Leipnik （N- L） system, some basic analysis were studied, such as symmetry, characteristics of equilibrium and so on. Then Poincare diagrams on different sections, Lyapunov exponents diagrams and bifurcation diagram from the period - doubling regime to chaotic counterpart were provided. The positive largest Lyapunov exponent in the system was made clear, and the fractal dimension value was also manifested. Results show that N -L system owns the dynamical complexity of chaotic system.