Institut Royal Météorologique de Belgique, 3 av. Circulaire, 1180 Brussels, Belgium.
Interdisciplinary Center for Nonlinear Phenomena and Complex Systems Université Libre de Bruxelles, Campus Plaine, CP 231, bd du Triomphe, 1050 Brussels, Belgium.
Phys Rev E. 2017 Oct;96(4-1):042214. doi: 10.1103/PhysRevE.96.042214. Epub 2017 Oct 23.
Stochastic resonance is analyzed in an array of nonlinear spatially coupled subsystems. Analytic expressions for the different steady-state solutions, for the rates of transitions between them in the presence of noise, and for the response to a weak external periodic forcing are derived. It is shown that the presence of spatial degrees of freedom modifies considerably the mechanisms of transitions between states and is responsible for a marked sensitivity of the response on the coupling constant and on the system size.
在一组非线性空间耦合的子系统中分析了随机共振。推导了不同稳态解的解析表达式，以及在噪声存在下它们之间的转换速率，以及对外界弱周期性驱动力的响应。结果表明，空间自由度的存在极大地改变了状态之间的转换机制，并导致响应对耦合常数和系统尺寸的显著敏感性。
