关于非自治Duffing-Van Der Pol混沌系统完全同步的研究

Research on complete synchronization of non-autonomous chaotic Duffing-Van Der Pol systems

研究了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Φ6势的Duffing-Van Der Pol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。

The influence of two kinds of irregular signal on synchronization of non-autonomous chaotic systems was studied.Employing a harmonically excited Duffing-Van der pol oscillator with Φ6 potential,it was shown that the common inputs 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.The results revealed that the noise-induced synchronization is quite robust to parameter misfits.The presented investigation was of great relevance and practice in ecologic systems,neural systems and engineering.