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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Effects of non-Gaussian noise near supercritical Hopf bifurcation
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Effects of non-Gaussian noise near supercritical Hopf bifurcation

机译：非高斯噪声在超临界Hopf分叉附近的影响

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摘要

We have studied the effects of non-Gaussian colored noise in a chemical oscillation system, the well-known Brusselator model, in the parameter region close to the supercritical Hopf bifurcation. With the variation of the parameter q, which quantifies the deviation from Gaussian character, the signal-to-noise ratio of noise induced oscillation exhibits a bell-shaped change, indicating the presence of resonant activity. The cooperative effects of q and the correlation time [tau] on the performance of noise induced oscillation are also investigated. Interestingly, resonance-like behavior can be induced by either q or [tau] when the other parameter is properly fixed. Stochastic normal form theory is used to analyze these nontrivial effects and the simulation results are well reproduced. This work provides us comprehensive understanding of how non-Gaussian noise influences the dynamics in chemical oscillation systems.
机译：我们已经研究了在接近超临界Hopf分叉的参数区域中化学振荡系统（众所周知的Brusselator模型）中非高斯色噪声的影响。随着参数q的变化（量化了与高斯特性的偏差），噪声引起的振荡的信噪比呈现出钟形变化，表明存在共振活动。还研究了q和相关时间τ对噪声引起的振荡的性能的协同作用。有趣的是，当其他参数适当固定时，可以由q或τ引起类似共振的行为。随机范式理论被用来分析这些非平凡的影响，并且模拟结果被很好地再现。这项工作使我们对非高斯噪声如何影响化学振荡系统的动力学有了全面的了解。

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