【作者】 徐伟； 杨晓丽；

【Author】 Xu Wei Yang Xiaoli Department of Applied Mathematics,Northwestern Polytechnical University,Xi’an 710072,China

【机构】 西北工业大学应用数学系；

【摘要】 文中研究两类不规则信号—高斯白噪声与Rossler混沌驱动力在混沌系统同步方面的作用。通过对典型的含五次非线性项的Duffing-VanderPol混沌系统分析,发现一定强度的高斯白噪声或Rossler混沌驱动力能使系统的最大Lyapunov指数由正值变为负值。从而不规则信号可使两个参数相同的非自治的Duffing-VanderPol混沌系统达到完全同步。另外,本文讨论了噪声同步对系统结构的稳定性。通过比较系统的平均同步误差与同步时间,发现当两系统的参数失调在一定范围内时,噪声同步仍具有较好的效果。本文的研究在生态系统、神经系统及工程等领域具有重要的现实意义和指导意义。更多还原

【Abstract】 This paper discusses the influence of two kinds of irregular signal on synchronization in chaotic system.Employing a typical non-autonomous Duffing-Van der pol oscillator with power 5 component,we find that the common input of irregular signal,i.e.,Gaussian white noise or Rossler chaotic driving,can successfully induce complete synchronization between two identical Duffing-Van der pol oscillators when the signal is large enough to make the largest Lyapunov exponent negative.In addition,by means of average synchronization error and synchronization time,we analyze the structural stability of noise-induced synchronization phenomenon in the case that the parameters of the two considered oscillators mismatch.The result reveals that the synchronization is quite robust when the parameter misfit is confined in a small region.The present investigation is of great relevance and practice in ecology,neural system,engineer and so on.更多还原