Chen和Duffing混沌的叠加特性及其电路实现

2012 International Conference on Control Engineering and Communication Technology Pub Date : 2012-12-07 DOI:10.1109/ICCECT.2012.255

Jianming Liu, Lejun Li

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引用次数: 1

摘要

为了分析电力系统中出现的Chen混沌和Duffing混沌现象的叠加特性，将Chen混沌模型与Duffing混沌模型叠加，得到了一种新的复杂混沌模型。分析了新复杂混沌模型的相空间映射、李雅普诺夫指数映射和时域特征。混沌模型的李雅普诺夫指数仿真结果表明，新的复杂混沌模型具有较强的混沌特征。理论分析和实验结果表明，新的复杂混沌模型属于超混沌模型。最后，根据新的复杂混沌模型设计了模拟电路。

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The Overlayed Characteristics of Chen and Duffing Chaos and Its Circuit Realization

In order to analyze the overlayed characteristics of Chen and Duffing chaotic phenomenon appeared in the electric power system, a new complex chaotic model is produced by overlaying Chen chaotic model with Duffing chaotic model. The features of phase space maps, Lyapunov exponents maps and time domain of the new complex chaotic model are analysed. The Lyapunov exponent simulation results of the chaotic model show that new complex chaotic model has strong chaotic features. The results of theoretical analysis and experiment show that the new complex chaotic model belongs to a hyperchaotic model. Finally, the analog circuits are designed based on the new complex chaotic model.

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2012 International Conference on Control Engineering and Communication Technology

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