关于非自治Duffing-Van Der Pol 混沌系统完全同步的作用

杨晓丽;孙中奎

振动与冲击 ›› 2010, Vol. 29 ›› Issue (11) : 131-134.

PDF(1701 KB)
PDF(1701 KB)
振动与冲击 ›› 2010, Vol. 29 ›› Issue (11) : 131-134.
论文

关于非自治Duffing-Van Der Pol 混沌系统完全同步的作用

  • 杨晓丽1,2; 孙中奎2
作者信息 +

Influence of irregular signal on synchronization ofnon-autonomous chaotic systems

  • Yang Xiaoli1,2; Sun Zhongkui2
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文章历史 +

摘要


研究了两类不规则信号——噪声与混沌驱动力在非自治混沌系统同步方面的影响。以谐和力激励的具有 势的Duffing-VanderPol混沌振子为范例,通过对系统的最大Lyapunov指数及同步误差的分析,结果表明:在一定条件下,Gauss白噪声或Rossler混沌驱动力可以诱使两个参数相同的非自治混沌系统达到完全同步;同时通过比较系统的平均同步误差与同步时间,发现噪声诱导的同步对系统的参数失调具有较强的鲁棒性。该研究在生态系统、神经系统及工程等领域具有重要的现实意义和指导意义。






Abstract

The influence of two kinds of irregular signal on synchronization of non-autonomous chaotic systems was discussed. Employing a harmonically excited Duffing-Van derpol oscillator with potential, one can observe that the common input of irregular signal with appropriate strength, i.e., Gaussian white noise or Rossler chaotic driving, can successfully induce complete synchronization between two identical non-autonomous chaotic oscillators through analyzing the largest Lyapunov exponent and synchronization error. In addition, when the two considered oscillators are non-identical, the structural stability of noise-induced synchronization is examined by means of average synchronization error and synchronization time. And the result reveals that the noise-induced synchronization is quite robust to parameter misfit. The present investigation is of great relevance and practice in ecology, neural system, engineer and so on.

关键词

不规则信号 / 混沌 / 同步

Key words

irregular signal / chaos / synchronization

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导出引用
杨晓丽;孙中奎. 关于非自治Duffing-Van Der Pol 混沌系统完全同步的作用[J]. 振动与冲击, 2010, 29(11): 131-134
Yang Xiaoli;Sun Zhongkui. Influence of irregular signal on synchronization ofnon-autonomous chaotic systems[J]. Journal of Vibration and Shock, 2010, 29(11): 131-134

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