School of Mathematics and Statistics, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China.
Potsdam Institute for Climate Impact Research, Potsdam 14412, Germany.
Philos Trans A Math Phys Eng Sci. 2021 May 31;379(2198):20200230. doi: 10.1098/rsta.2020.0230. Epub 2021 Apr 12.
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 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 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, 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 . In addition, 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)'.
许多生物系统具有受限结构，这会对动力学产生新的影响。在这里，通过数值计算谱放大，研究了由三个单元组成并受到噪声、周期力和垂直恒力作用的三重腔中的随机共振 (SR)。同时，还探索了给定三重腔中的 SR 及其与其他结构的区别。首先，发现腔参数可以消除或调节最大值和引起最大值的噪声强度。其次，与具有类似最大/最小宽度以及两个最大宽度之间距离的双腔相比，三重腔中的最大值更大。接下来，将纯势中的自然边界转换为三重腔中的反射边界将需要垂直力来诱导 SR，并导致最大值减小。此外，随着周期性力的垂直力和频率的增加，而随着不同噪声强度的周期性力幅度的增加，呈现出几种趋势。最后，我们将研究扩展到分数高斯噪声激励的影响。本文是主题为“驱动非线性系统中的振动和随机共振（第 2 部分）”的一部分。
