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时间延迟反馈控制斑图形成
引用本文:汪茂胜,张季谦,涂玉兵.时间延迟反馈控制斑图形成[J].安庆师范学院学报(自然科学版),2012,18(4):75-79.
作者姓名:汪茂胜  张季谦  涂玉兵
作者单位:安徽师范大学物理系,安徽芜湖,241000;安徽师范大学物理系,安徽芜湖,241000;安徽师范大学物理系,安徽芜湖,241000
摘    要:在Chlorine-iodine-malonic-acid反应扩散体系中,研究了时间延迟反馈对体系时空动力学的控制作用。首先,理论分析发现调节延迟时间和反馈强度会影响体系霍普夫分岔行为。其次,数值模拟发现时间延迟反馈可诱导体系从稳定定态、图灵斑图态向螺旋波态、整体振荡态的转变。

关 键 词:时间延迟反馈  反应扩散体系  图灵斑图

Controlled Pattern Formation by Time-delayed-feedback
WANG Mao-Sheng,ZHANG Ji-Qian,TU Yu-Bing.Controlled Pattern Formation by Time-delayed-feedback[J].Journal of Anqing Teachers College(Natural Science Edition),2012,18(4):75-79.
Authors:WANG Mao-Sheng  ZHANG Ji-Qian  TU Yu-Bing
Institution:(Department of Physics,Anhui Normal University,Wuhu,Anhui 241000,China)
Abstract:The effectice of time-delayed feedback on pattern formation in Chlorine-iodine-malonic-acid reaction-diffusion system is studied.We analyze the linear stability and obtain the system's Hopf bifurcation behavior controlled by varying the feedback parameters(delay time and feedback intensity).Moreover,numerical simulations show that the transition from stable steady state,turing pattern to spiral wave state and bulk oscillation state can be induced by time-delayed feedback.
Keywords:time-delayed feedback  reaction-diffusion system  turing pattern
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