Effects of combined harmonic and random excitations on a Brusselator model

Yong Xu; Jinzhong Ma; Haiyan Wang; Yongge Li; Jürgen Kurths

doi:10.1140/epjb/e2017-80076-9

Effects of combined harmonic and random excitations on a Brusselator model

Yong Xu, Jinzhong Ma, Haiyan Wang, Yongge Li, Jürgen Kurths

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

Abstract

We discuss the constructive role of combined harmonic and random excitation on stochastic resonance (SR) in a Brusselator model. We first numerically investigate SR determined by the Signal-to-Noise Ratio (SNR) in this model. Effects of different parameters on SR are described in detail. Our simulation results show that the intensity of the Gaussian colored noise and the amplitude of the periodic force can enhance SR. Moreover, an analytical framework is presented for the SNR of the Brusselator model, leading to a theoretical expression of SNR. We observe a good agreement between the theoretical and numerical results, and the effectiveness of the proposed theoretical method is verified. This theoretical analysis provides a global view on how the dynamics of a periodically forced system with noise changes in the vicinity of a Hopf bifurcation.

Original language	English
Article number	194
Journal	European Physical Journal B
Volume	90
Issue number	10
DOIs	https://doi.org/10.1140/epjb/e2017-80076-9
State	Published - 1 Oct 2017

Keywords

Statistical and Nonlinear Physics

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10.1140/epjb/e2017-80076-9

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title = "Effects of combined harmonic and random excitations on a Brusselator model",

abstract = "We discuss the constructive role of combined harmonic and random excitation on stochastic resonance (SR) in a Brusselator model. We first numerically investigate SR determined by the Signal-to-Noise Ratio (SNR) in this model. Effects of different parameters on SR are described in detail. Our simulation results show that the intensity of the Gaussian colored noise and the amplitude of the periodic force can enhance SR. Moreover, an analytical framework is presented for the SNR of the Brusselator model, leading to a theoretical expression of SNR. We observe a good agreement between the theoretical and numerical results, and the effectiveness of the proposed theoretical method is verified. This theoretical analysis provides a global view on how the dynamics of a periodically forced system with noise changes in the vicinity of a Hopf bifurcation.",

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author = "Yong Xu and Jinzhong Ma and Haiyan Wang and Yongge Li and J{\"u}rgen Kurths",

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T1 - Effects of combined harmonic and random excitations on a Brusselator model

AU - Xu, Yong

AU - Ma, Jinzhong

AU - Wang, Haiyan

AU - Li, Yongge

AU - Kurths, Jürgen

PY - 2017/10/1

Y1 - 2017/10/1

N2 - We discuss the constructive role of combined harmonic and random excitation on stochastic resonance (SR) in a Brusselator model. We first numerically investigate SR determined by the Signal-to-Noise Ratio (SNR) in this model. Effects of different parameters on SR are described in detail. Our simulation results show that the intensity of the Gaussian colored noise and the amplitude of the periodic force can enhance SR. Moreover, an analytical framework is presented for the SNR of the Brusselator model, leading to a theoretical expression of SNR. We observe a good agreement between the theoretical and numerical results, and the effectiveness of the proposed theoretical method is verified. This theoretical analysis provides a global view on how the dynamics of a periodically forced system with noise changes in the vicinity of a Hopf bifurcation.

AB - We discuss the constructive role of combined harmonic and random excitation on stochastic resonance (SR) in a Brusselator model. We first numerically investigate SR determined by the Signal-to-Noise Ratio (SNR) in this model. Effects of different parameters on SR are described in detail. Our simulation results show that the intensity of the Gaussian colored noise and the amplitude of the periodic force can enhance SR. Moreover, an analytical framework is presented for the SNR of the Brusselator model, leading to a theoretical expression of SNR. We observe a good agreement between the theoretical and numerical results, and the effectiveness of the proposed theoretical method is verified. This theoretical analysis provides a global view on how the dynamics of a periodically forced system with noise changes in the vicinity of a Hopf bifurcation.

KW - Statistical and Nonlinear Physics

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DO - 10.1140/epjb/e2017-80076-9

M3 - 文章

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SN - 1434-6028

VL - 90

JO - European Physical Journal B

JF - European Physical Journal B

IS - 10

M1 - 194

ER -

Effects of combined harmonic and random excitations on a Brusselator model

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