Competition of Spatial and Temporal Instabilities under Time Delay near Codimension-Two Turing-Hopf Bifurcations  

作　　者：王慧娟 任芝 

机构地区：[1]School of Mathematics and Physics,North China Electric Power University

出　　处：《Communications in Theoretical Physics》2011年第8期339-344,共6页理论物理通讯（英文版）

基　　金：Supported by the Fundamental Research Funds for the Central Universities under Grant No. 09ML56;the Foundation for Young Teachers of the North China Electric Power University, China under Grant No. 200611029

摘　　要：Competition of spatial and temporal instabilities under time delay near the codimension-two Turing-Hopfbifurcations is studied in a reaction-diffusion equation.The time delay changes remarkably the oscillation frequency,theintrinsic wave vector,and the intensities of both Turing and Hopf modes.The application of appropriate time delaycan control the competition between the Turing and Hopf modes.Analysis shows that individual or both feedbacks canrealize the control of the transformation between the Turing and Hopf patterns.Two-dimensional numerical simulationsvalidate the analytical results.

关 键 词：pattern formation reaction-diffusion system time delay 

分 类 号：O213.1[理学—概率论与数理统计]