Dynamical Behavior of Brusselator System Driven by Non-Gaussian Noise

Authors

  • 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

How to Cite

Dong , Q. ., & Guo , Y. . (2020). Dynamical Behavior of Brusselator System Driven by Non-Gaussian Noise. American Scientific Research Journal for Engineering, Technology, and Sciences, 73(1), 44–53. Retrieved from https://www.asrjetsjournal.org/index.php/American_Scientific_Journal/article/view/6308

Issue

Vol. 73 No. 1 (2020)

Section

Articles

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