Stochastic sensitivity analysis of stationary patterns in spatially extended systems

被引：2
|
作者：
Kolinichenko, Alexander [1 ]
Ryashko, Lev [1 ]
机构：
[1] Ural Fed Univ, Inst Nat Sci & Math, Ural Math Ctr, Ekaterinburg, Russia
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 16期
基金：
俄罗斯科学基金会;
关键词：
pattern formation; reaction-diffusion system; stochastic sensitivity; Turing instability; MODEL;
D O I：
10.1002/mma.6892
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a spatially extended stochastic reaction-diffusion model is studied. Due to Turing instability, stable nonhomogeneous stationary patterns are generated in such models. A theoretical approach to estimating the mean-square deviation of random solutions from the stable deterministic pattern-attractor is demonstrated. Stochastic sensitivity functions for stable stationary patterns are introduced. Theoretical evaluations are compared with statistically obtained data. Based on this approach, we investigate stochastic properties of different patterns in Brusselator. Variations in pattern sensitivity to noise and phenomenon of stochastic preference are discussed.
引用
收藏
页码：12194 / 12202
页数：9
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