北京师范大学学报（自然科学版）2017，Vol.53Issue(4)：418-422,5.DOI:10.16360/j.cnki.jbnuns.2017.04.008
一个产生不对称涡旋的自驱动粒子模型
A self-propelling particle model displaying an asymmetric vortex
摘要
Abstract
Vortex formation in biological grouping is very common in nature.Works have been done formation mechanism,some models could achieve a symmetrical vortex shape.But in most cases the vortex formed by living organisms is not symmetrical.In the present work,self-driven particle model producing a symmetric vortex was studied,introducing the factor of individual spatial perceptual anisotropy.The basic hypothesis is that perception of longitudinal distance is shorter than the true longitudinal distance while lateral distance is not biased.But this would result in anisotropy of the strength of agent interactions.Simulations revealed that when deviation reached a certain level,the population finally resents and maintains an eccentric vortex state,which coincided with the actual situation better.This would indicate that for a living group to form an asymmetric rather than a symmetric vortex,spatial perceptual anisotropy may be the major reason Parameter sensitivity analysis revealed that when group aligning tendency was weak,small distance perception deviation had no effect on group behavior;moderate deviation made the group appear as eccentric vortex,excessive deviation would make the group into a mess.With strong aligning tendency,moderate distance perception deviation could not change the ending with alignment,but large deviation would make the group appear as eccentric vortex;excessive deviation resulted in group disorder.关键词
集群运动/非对称性/涡旋/自驱动粒子Key words
collective motion/asymmetry/vortex/self-propelling model分类
自科综合引用本文复制引用
赵一农,韩战钢..一个产生不对称涡旋的自驱动粒子模型[J].北京师范大学学报（自然科学版）,2017,53(4):418-422,5.基金项目
国家自然科学基金资助项目(61374165,31261160495) （61374165,31261160495）
