Pattern formation and nonlocal logistic growth
软凝聚态物质
2009-11-10 v2 适应与自组织系统
斑图形成与孤子
种群与进化
摘要
Logistic growth process with nonlocal interactions is considered in one dimension. Spontaneous breakdown of translational invariance is shown to take place at some parameter region, and the bifurcation regime is identified for short and long range interactions. Domain walls between regions of different order parameter are expressed as soliton solutions of the reduced dynamics for nearest neighbor interactions. The analytic results are confirmed by numerical simulations.
引用
@article{arxiv.cond-mat/0311230,
title = {Pattern formation and nonlocal logistic growth},
author = {Nadav M. Shnerb},
journal= {arXiv preprint arXiv:cond-mat/0311230},
year = {2009}
}