中文摘要：

考虑到蔡氏电路受周围电路的影响,故将受周围影响的蔡氏电路做了等效处理,并将其等效为电流激励蔡氏电路。这里首次用解析的方法对三阶非线性微分方程能够产生混沌的参数范围进行预测,利用该方法得出电流激励蔡氏电路产生混沌的必要参数条件。通过数值仿真证明了该等效电路具有极其丰富的混沌动力学行为,仿真结果与解析预测结果有较好的吻合性。

英文摘要：

Chua＇s circuit model is proposed by taking into account impact of the surrounding circuits on Chua＇s circuit. The scope of the chaotic parameters produced by the third-order nonlinear differential equations is predicted with the analytical method for the first time, and a required range of parameters for current driven Chua＇s circuit to produce chaos is deduced by this method. Simulated phase diagrams show this circuit has a very rich dynamics of chaotic behavior, the simulation results and analytically predicted results are in good coincidence.