论文标题
白噪声对Swift-Hohenberg方程中超临界分叉的影响
The impact of white noise on a supercritical bifurcation in the Swift-Hohenberg equation
论文作者
论文摘要
我们考虑加性高斯白噪声对无界域中超临界干草叉分叉的影响。例如，我们专注于具有多项式非线性的随机Swift-Hohenberg方程。在这里，我们确定小噪声首先影响分叉的顺序。使用通过调制方程进行近似值，我们提供了一种工具来分析噪声如何影响稳定性变化的动力学。
We consider the impact of additive Gaussian white noise on a supercritical pitchfork bifurcation in an unbounded domain. As an example we focus on the stochastic Swift-Hohenberg equation with polynomial nonlinearity. Here we identify the order where small noise first impacts the bifurcation. Using an approximation via modulation equations, we provide a tool to analyse how the noise influences the dynamics close to a change of stability.
