【摘要】 构造了一个新的不同于Lorenz系统、Chen系统和L櫣系统的三维连续自治混沌系统.该系统含有四个参数,两个非线性乘积项.通过理论推导、数值仿真、Lyapunov指数谱、分岔图和Poincar啨截面图研究了系统的基本动力学特性,并分析了改变不同参数时系统动力学行为的变化.更多还原

【Abstract】 This paper reports a new three-dimensional continuous autonomous chaotic system, which is different from the Lorenz, Chen and Lü systems. The new system contains two quadratic cross-product terms and four system parameters. Basic dynamic properties of the new system are studied by means of theoretical analysis, numerical simulation, Lyapunov exponent spectrum, bifurcation diagrams and Poincaré section diagrams. The different dynamic behaviors of the new system are analyzed when each system parameter is changed.更多还原