蔡氏电路的非线性动力学探析

Nonlinear dynamic analysis of Chua circuit

针对基尔霍夫电压定律、基尔霍夫电流定律及各元器件的特性,提出了一种基于新型三阶忆阻器的蔡氏电路.并建立一个新型蔡氏电路的数学模型.利用该模型,得出相轨迹图、Lyapunov指数图、Poincaré截面图和分岔图.对基于新型三阶忆阻器的蔡氏电路的非线性动力学特性进行分析表明,该忆阻器的蔡氏电路具有更复杂、更丰富的混沌现象与非线性动力学行为.研究结果可为相关混沌电路、图像加密等提供参考.

A new Chua circuit based on a novel third order memristor is proposed,in the light of Kirchhoff voltage law,Kirchhoff current law and the characteristics of each component.The phase trajectory diagram,Lyapunov exponent diagram,Poincare cross section diagram and bifurcation diagram are obtained by building and utilizing the mathematical model of the new Chua circuit.The nonlinear dynamic characteristics of the Chua circuit based on a novel third order memristor is analyzed,and the results show that the new Chua circuit exhibit more complex and abundant chaotic phenomena and nonlinear dynamic behaviors,provide references for the research of chaotic circuit and image encryption.