哈尔滨商业大学学报（自然科学版）2024，Vol.40Issue(5)：585-591,7.
延迟反馈对Turing和Hopf分岔转换的控制
Control of delayed feedback over Turing and Hopf bifurcation transformations
摘要
Abstract
This paper studied on the spatiotemporal instability of a class of reaction-diffusion equations under delayed feedback control.In this paper,the impact of delay on Turing and Hopf instability in the vicinity of codimension-2 Turing-Hopf phase space was analyzed,where the time delay was treated as a perturbation.It was found that the presence of delay significantly altered the oscillation frequency,the intrinsic wave vector,and the intensities of both Turing and Hopf modes,which mean that the application of appropriate time delay can modulate the competition between the Turing and Hopf modes.Furthermore,the analysis showed that either single feedback or double feedback can control the transformation between Turing and Hopf patterns,demonstrating the effectiveness of delayed feedback in controlling the formation of patterns near codimension-2 Turing-Hopf phase space.关键词
斑图形成/反应扩散系统/延迟反馈/稳定性/Turing斑图/Hopf斑图Key words
pattern formation/reaction diffusion system/time-delayed feedback/stability/Turing pattern/Hopf pattern分类
数理科学引用本文复制引用
杨爽,马淑芳..延迟反馈对Turing和Hopf分岔转换的控制[J].哈尔滨商业大学学报（自然科学版）,2024,40(5):585-591,7.基金项目
中央高校基本科研任务费(2572018BC19). （2572018BC19）
