自动化学报2024，Vol.50Issue(8)：1620-1630,11.DOI:10.16383/j.aas.c230637
Schnakenberg系统的时空斑图演化机理研究
Study on Spatiotemporal Pattern Evolution Mechanism of Schnakenberg System
摘要
Abstract
Schnakenberg system is a typical chemical reaction-diffusion control system.Currently,research both do-mestically and internationally is limited to Turing instability and bifurcation of such system,with relatively fewer reports on the evolution mechanism of its chemical patterns.Pattern mechanism analysis can accurately reveal the generation of self-organization phenomena and the evolution of spatial patterns in chemical reactions.This paper in-vestigates the structural transformation,evolution speed,and time-dependence of patterns of Schnakenberg system under cross-diffusion driving,and focuses on exploring the response mechanism of cross-diffusion to its kinetics and pattern evolution.The findings indicate that when a system induced by self-diffusion is stable,cross-diffusion can trigger pattern formation.When a system induced by self-diffusion is unstable,cross-diffusion can lead to the trans-formation of pattern structures.For circular wave structures,different components of cross-diffusion can influence their evolution speed.In the context of temporal dependence,cross-diffusion can trigger the generation of patterns that vary periodically with time and can transform such patterns into relatively stable ones over time.Therefore,cross-diffusion plays a crucial role in the pattern generation,transformation,evolution speed,and temporal depend-ence of Schnakenberg system.关键词
交叉扩散/Schnakenberg系统/时空斑图/稳定性/环波Key words
Cross-diffusion/Schnakenberg system/spatiotemporal patterns/stability/circular wave引用本文复制引用
董顺科,肖敏,虞文武..Schnakenberg系统的时空斑图演化机理研究[J].自动化学报,2024,50(8):1620-1630,11.基金项目
国家自然科学基金(62073172,62233004,62073076),江苏省自然科学基金(BK20221329),江苏省应用数学科学研究中心(BK20233002)资助Supported by National Natural Science Foundation of China(62073172,62233004,62073076),Natural Science Foundation of Jiangsu Province of China(BK20221329),and Jiangsu Provin-cial Scientific Research Center of Applied Mathematics(BK20233002) （62073172,62233004,62073076）
