电压激励蔡氏电路混沌的解析预测及其仿真  

Analytical Prediction and Simulation of Chaos in Voltage Driven Chua's Circuit

作　　者：李邦彦[1] 李连军[1] 

机构地区：[1]湖南电气职业技术学院机械系,湖南湘潭411101

出　　处：《吉首大学学报（自然科学版）》2015年第2期46-51,共6页Journal of Jishou University(Natural Sciences Edition)

基　　金：湖南省教育厅科学研究项目(11C0310)

摘　　要：蔡氏电路的非线性动力学行为丰富,其状态方程是三阶微分方程,常利用该电路研究混沌现象.首先,建立电压激励蔡氏变形电路模型;其次,运用解析方法对该电路产生混沌现象的参数取值范围进行预测;最后,采用数值方法和李雅普诺夫指数分析方法对预测结果进行仿真,验证了该电路混沌解析预测结果的正确性.The Gaussian equation expression of surface theory is discussed. The direct explicit formula ex- pression of Gaussian equation is derived by means of the matrix expression of the fundamental equation on curved surface. The derivation of Gaussian curvature simplified formula is discussed which discloses the discovery of Gaussian curvature implicit formula. The proof procedure of Gaussian equation of Li- ouville form is demonstrated.

关 键 词：电压激励 蔡氏电路 混沌 解析预测 

分 类 号：O231.2[理学—运筹学与控制论]