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图灵-霍普夫切空间2种失稳模的竞争
引用本文:王慧娟.图灵-霍普夫切空间2种失稳模的竞争[J].河北师范大学学报(自然科学版),2007,31(6):744-748.
作者姓名:王慧娟
作者单位:华北电力大学,数理系,河北,保定,071003
基金项目:华北电力大学校科研和教改项目
摘    要:利用电荷传输方程研究了图灵-霍普夫切空间的二维斑图动力学.研究发现,在该空间存在图灵模与霍普夫模的竞争现象.通过分析斑图的时空特性研究了竞争过程中图灵模与霍普夫模的主导作用.模拟结果表明,在切空间附近,微扰的大小也影响竞争的结果.

关 键 词:图灵-霍普夫切空间  斑图  模竞争
文章编号:1000-5854(2007)06-0744-05
修稿时间:2007-05-10

Competition Between Two Instability Modes Near Codimension-two Turing-Hopf Bifurcations
WANG Hui-juan.Competition Between Two Instability Modes Near Codimension-two Turing-Hopf Bifurcations[J].Journal of Hebei Normal University,2007,31(6):744-748.
Authors:WANG Hui-juan
Institution:School of Mathematics and Physics, North China Electric Power University, Hebei Baoding 071003, China
Abstract:The 2D dynamics of patterns near codimension-two Turing-Hopf bifurcations are studied with charge transport equation.It is found that there exists competition between Turing mode and Hopf mode in this space.The leading effect of Turing mode and Hopf mode during competition is investigated by analyzing the spatiotemporal characteristics of patterns.Simulation shows that perturbations also affect the competition results.
Keywords:codimension-two Turing-Hopf bifurcations  pattern  competition between modes
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