论文标题
随机正弦式方程中的呼吸动力学：增强噪声的证据
Breather dynamics in a stochastic sine-Gordon equation: evidence of noise-enhanced stability
论文作者
论文摘要
在存在耗散性和随机扰动的情况下，研究了正弦呼吸器的动力学。将带有随机相值作为初始状态的固定呼吸器作为初始状态，表明，空间均匀的噪声源可以使振动激发更稳定，即，它使后者的持续时间比在无噪声场景中的持续时间更长。检查了频域和能量的定位，以记录噪声增强稳定性现象的有效性，这是呼吸器平均特征时间的非单调行为，这是噪声强度的函数。该模式的启动频率对结果的影响以及它们对其他热背景的鲁棒性。
The dynamics of sine-Gordon breathers is studied in the presence of dissipative and stochastic perturbations. Taking a stationary breather with a random phase value as the initial state, the performed simulations demonstrate that a spatially-homogeneous noisy source can make the oscillatory excitation more stable, i.e., it enables the latter to last significantly longer than it would in a noise-free scenario. Both the frequency domain and the localization of energy are examined to document the effectiveness of the noise-enhanced stability phenomenon, which emerges as a nonmonotonic behavior of an average characteristic time for the breather as a function of the noise intensity. The influence of the mode's starting frequency on the results and their robustness against an additional thermal background are also addressed.
