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

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.