依赖地下水的植物生态系统中的振动共振
Vibrational resonance in groundwater-dependent plant ecosystems
摘要：
本文报道了地下水植物生态系统的单种群和双种群模型中的振动共振现象，其中地下水具有两种不同的频率ω和Ω，Ω>> ω。在这两个系统中，物种生物量的响应幅度表现出不同机制的多重共振。共振发生在双谐力的低频和高频处。在单种群系统中，共振发生在地下水位高频分量的振幅g的离散值处。此外，生物量及其承载能力与双谐力的最佳同步发生在共振处。在两物种可激发时滞模型中，响应振幅（Q）曲线显示了几个共振平台区，在此区域物种生物量的演化周期保持不变，Q值与之成反比，响应振幅对时滞参数τ高度敏感，并显示出两个不同的共振区间序列，振幅随τ减小。
英文摘要：
We report the phenomenon of vibrational resonance in a single species and a two species models of groundwater-dependent plant ecosystems with a biharmonic oscillation (with two widely different frequencies ωand Ω, Ω>> ω) of the water table depth. In these two systems, the response amplitude of the species biomass shows multiple resonances with different mechanisms. The resonance occurs at both low- and high-frequencies of the biharmonic force. In the single species bistable system, the resonance occurs at discrete values of the amplitude g of the high-frequency component of the water table. Furthermore, the best synchronization of biomass and its carrying capacity with the biharmonic force occurs at the resonance. In the two species excitable and time-delay model, the response amplitude (Q) profile shows several plateau regions of resonance, where the period of evolution of the species biomass remains the same and the value of Q is inversely proportional to it. The response amplitude is highly sensitive to the time-delay parameter τand shows two distinct sequences of resonance intervals with a decreasing amplitude with τ.
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