期刊
EUROPEAN PHYSICAL JOURNAL B
卷 90, 期 10, 页码 -出版社
SPRINGER
DOI: 10.1140/epjb/e2017-80076-9
关键词
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资金
- NSF of China [11572247]
- Fundamental Research Funds for the Central Universities
- Russian Science Foundation [16-12-10198]
- Seed Foundation of Innovation and Creation for Graduate Students
- Innovation Foundation for Doctor Dissertation of NPU
- Russian Science Foundation [16-12-10198] Funding Source: Russian Science Foundation
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 veri fied. 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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