构造了一个新的三维连续自治混沌系统.该系统含有两个参数、一个反正切函数形式的非线性项.基于线性矩阵不等式方法研究了系统的稳定性.通过理论分析、数值仿真、Lyapunov指数谱、分岔图以及Poincaré截面图分别研究了系统的复杂动力学特性.
This paper presents a new three-dimensional continuous autonomous chaotic system.The new system has two system parameters and a nonlinear term which takes the form of arc tangent function.The stability of the new system is investigated based on linear matrix inequality(LMI) method.And the complex dynamic properties are studied by theoretical analysis,numerical simulation,Lyapunov exponents spectrum,bifurcation diagrams and Poincaré section diagrams.