Many biological systems possess confined structures, which produce novel influences on the dynamics. Here, stochastic resonance (SR) in a triple cavity that consists of three units and is subjected to noise, periodic force and vertical constance force is studied, by calculating the spectral amplification η numerically. Meanwhile, SR in the given triple cavity and differences from other structures are explored. First, it is found that the cavity parameters can eliminate or regulate the maximum of η and the noise intensity that induces this maximum. Second, compared to a double cavity with similar maximum/minimum widths and distances between two maximum widths as the triple cavity, η in the triple one shows a larger maximum. Next, the conversion of the natural boundary in the pure potential to the reflection boundary in the triple cavity will create the necessity of a vertical force to induce SR and lead to a decrease in the maximum of η. In addition, η monotonically decreases with the increase of the vertical force and frequency of the periodic force, while it presents several trends when increasing the periodic force’s amplitude for different noise intensities. Finally, our studies are extended to the impact of fractional Gaussian noise excitations.

This article is part of the theme issue ‘Vibrational and stochastic resonance in driven nonlinear systems (part 2)’.

许多生物系统都具有局限性的结构，这会对动力学产生新的影响。在此，通过数值计算频谱放大率η，研究了由三个单元组成的三腔空腔中受到噪声，周期性力和垂直恒定力作用的随机共振（SR）。同时，研究了给定三腔中的SR及其与其他结构的差异。首先，发现腔参数可以消除或调节η的最大值以及引起该最大值的噪声强度。其次，与最大/最小宽度和两个最大宽度之间的距离与三腔相似的双腔η相比较，η三元组中的最大值显示较大。接下来，将纯电势中的自然边界转换为三腔中的反射边界，将需要产生垂直力来引起SR并导致η的最大值减小。另外，η随着垂直力和周期力频率的增加而单调减小，而对于不同的噪声强度，当增大周期力的幅度时，η呈现出几种趋势。最后，我们的研究扩展到分数高斯噪声激励的影响。

本文是主题问题“驱动的非线性系统中的振动和随机共振（第2部分）”的一部分。