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Then, the stability of bifurcation solutions is analyzed. Meanwhile, some spatial patterns induced by steady-state bifurcation are simulated numerically and depicted graphically. It is well known that the classical bifurcation theory in nonlinear dynamical systems is based on simple eigenvalues. However, this is not always the case. Sometimes, the kernel of an objective operator is of two or more dimensions. For such cases, there is no existing theory to deal with them. In this paper, by using the space decomposition technique and implicit function theorem, we analyze the bifurcation phenomenon of the system in the case of a two-dimensional kernel of some certain objective operator. The results show that the chemical reaction between activator iodide and inhibitor chlorite can proceed stably under certain conditions. <\/jats:p>","DOI":"10.1142\/s0218127423501286","type":"journal-article","created":{"date-parts":[[2023,9,20]],"date-time":"2023-09-20T07:16:08Z","timestamp":1695194168000},"source":"Crossref","is-referenced-by-count":3,"title":["Steady-State Bifurcation and Spatial Patterns of a Chemical Reaction System"],"prefix":"10.1142","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-7775-4898","authenticated-orcid":false,"given":"Jingjing","family":"Wang","sequence":"first","affiliation":[{"name":"School of Mathematics, Xi\u2019an University of Finance and Economics, Xi\u2019an, Shaanxi 710100, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yunfeng","family":"Jia","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Shaanxi Normal University, Xi\u2019an, Shaanxi 710062, P. R. 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