Nomi Yuji, Gotoda Hiroshi, Fukuda Shingo, Almarcha Christophe
Department of Mechanical Engineering, Tokyo University of Science, 6-3-1 Niijuku, Katsushika-ku, Tokyo 125-8585, Japan.
Aix-Marseille Université, CNRS, Centrale Marseille, IRPHE UMR 7342, 13384 Marseille, France.
Chaos. 2021 Dec;31(12):123133. doi: 10.1063/5.0070526.
We study the dynamical state of a noisy nonlinear evolution equation describing flame front dynamics in a Hele-Shaw cell from the viewpoint of complex networks. The high-dimensional chaos of flame front fluctuations at a negative Rayleigh number retains the deterministic nature for sufficiently small additive noise levels. As the strength of the additive noise increases, the flame front fluctuations begin to coexist with stochastic effects, leading to a fully stochastic state. The additive noise significantly promotes the irregular appearance of the merge and divide of small-scale wrinkles of the flame front at a negative Rayleigh number, resulting in the transition of high-dimensional chaos to a fully stochastic state.
我们从复杂网络的角度研究了描述Hele-Shaw单元中火焰前沿动力学的噪声非线性演化方程的动力学状态。在负瑞利数下火焰前沿波动的高维混沌在足够小的加性噪声水平下保留了确定性特征。随着加性噪声强度的增加，火焰前沿波动开始与随机效应共存，导致完全随机状态。加性噪声显著促进了负瑞利数下火焰前沿小尺度褶皱合并和分裂的不规则出现，导致高维混沌向完全随机状态的转变。
