Dynamical Behavior of Brusselator System Driven by Non-Gaussian Noise

  • Qiang Dong Tiangong University School of Mathematical Sciences, No.399 Binshui West Road Xiqing District, Tianjin300387, China
  • Yongfeng Guo Tiangong University School of Mathematical Sciences, No.399 Binshui West Road Xiqing District, Tianjin300387, China
Keywords: Non-Gaussian noise, Brusselator model, Mean first passage time, Noise enhanced stability

Abstract

The non-Gaussian noise induced the mean first passage time (MFPT) in Brusselator system are examined. In this paper, the path integral method is used to approximate non-Gaussian noise to Gaussian color noise. The FPT of the 50000 response tracks is obtained by solving the system equation through the fourth-order stochastic Runge-Kutta algorithm. Then we get the MFPT. The influences of the noise intensity, correlation time and non-Gaussian parameter of non-Gaussian noise on the MFPT are characterized. We also found the noise enhanced stability (NES) phenomenon in the system.

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Published
2020-10-15
Section
Articles