分布式非线性系统模式形成中的随机现象。
Stochastic phenomena in pattern formation for distributed nonlinear systems.
机构信息
Ural Federal University, Ekaterinburg, Russia.
Centre for Biomedical Technology, Technical University of Madrid, Madrid, Spain.
出版信息
Philos Trans A Math Phys Eng Sci. 2020 May 15;378(2171):20190252. doi: 10.1098/rsta.2019.0252. Epub 2020 Apr 13.
Abstract
We study a stochastic spatially extended population model with diffusion, where we find the coexistence of multiple non-homogeneous spatial structures in the areas of Turing instability. Transient processes of pattern generation are studied in detail. We also investigate the influence of random perturbations on the pattern formation. Scenarios of noise-induced pattern generation and stochastic transformations are studied using numerical simulations and modality analysis. This article is part of the theme issue 'Patterns in soft and biological matters'.
摘要
我们研究了一个具有扩散的随机空间扩展种群模型，在图灵不稳定性区域发现了多种非均匀空间结构的共存。详细研究了模式生成的瞬态过程。我们还研究了随机扰动对模式形成的影响。使用数值模拟和模态分析研究了噪声诱导模式生成和随机转换的场景。本文是“软物质和生物物质中的模式”主题特刊的一部分。
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