Influence of irregular signal on synchronization ofnon-autonomous chaotic systems
Yang Xiaoli1,2; Sun Zhongkui2
1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, China2. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, China
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.
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]. , 2010, 29(11): 131-134.
Yang Xiaoli;Sun Zhongkui. Influence of irregular signal on synchronization ofnon-autonomous chaotic systems. , 2010, 29(11): 131-134.