| 具有x|x|非线性的蔡氏电路 |
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| 引用本文： | 邓杰生,文剑锋,钟国群,陈关荣.具有x|x|非线性的蔡氏电路[J].控制理论与应用,2003,20(2):223-227. |
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| 作者姓名： | 邓杰生 文剑锋 钟国群 陈关荣 |
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| 作者单位： | 香港城市大学,电子工程学系,香港 |
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| 摘 要： | 研究以x｜x｜非线性函数取代折线非线性v_i特性后的蔡氏电路. 重点讨论非线性函数x｜x｜对于产生混沌振荡的作用, 并用Shil’nikov方法给予严格的证明. 用计算机模拟对电路中发生的分岔过程进行了分析, 并对在实验室实现这种非线性函数的实际蔡氏电路设计作了描述.
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| 关 键 词： | 分岔分析 混沌 蔡氏电路 x|x|非线性 |
| 收稿时间： | 2001/11/14 0:00:00 |
| 修稿时间： | 7/5/2002 12:00:00 AM |
Modified Chua's circuit with x|x| |
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| TANG Kit-sang,MAN Kim-fung,ZHONG Guo-qun,CHEN Guan-rong.Modified Chua''s circuit with x|x|[J].Control Theory & Applications,2003,20(2):223-227. |
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| Authors: | TANG Kit-sang MAN Kim-fung ZHONG Guo-qun CHEN Guan-rong |
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| Affiliation: | Department of Electronic Engineering, City University of Hong Kong, Hong Kong,China |
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| Abstract: | A modified Chua's circuit is investigated by replacing its piecewise linear v -i characteristic of the nonlinear component with the x|x| function. The role of the function x|x| as a chaos generator is discussed, and is rigorously verified via the Shil'nikov method. Simulations with bifurcation analysis are carried out and, finally, a circuit design implemented in laboratory is described. |
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| Keywords: | bifurcation analysis chaos Chua's circuit x|x| nonlinearity |
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