中文摘要：

分析讨论一类新的三维二次自治混沌系统.通过理论分析、数值仿真,计算系统的Lyapunov指数谱和Lyapunov维数,以及系统的分岔图等,对系统的基本动力学特性进行分析.设计实现该系统的混沌电路,建立系统参数和电路参数的对应关系,运用Pspice软件对电路进行仿真实验,证实分析的正确性.所讨论的系统不同于Lorenz系统、Rssler系统、Chen系统和Lü系统等,且电路实现很简单实用.

英文摘要：

We study a three-dimensional quadratic autonomous chaotic system.Basic dynamic characteristics are analyzed via theoretical analysis and numerical simulation.Lyapunov exponent spectrum,Lyapunov dimension as well as bifurcation diagram are calculated.An electronic circuit is designed to realize the chaotic system.Relationships between system parameters and circuit parameters are built.The circuit is simulated using Pspice.Simulation results confirm the analysis.The system discussed is different from Lorenz system,Rssler system,Chen system and Lü system.The chaotic circuit is simple and practical.