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J. Bifurcation Chaos"],"published-print":{"date-parts":[[2023,1]]},"abstract":"<jats:p> In this paper, we investigate the spatiotemporal dynamics of the Sel\u2019kov\u2013Schnakenberg system. The stability of the positive constant steady state is studied by the linear stability theory. Hopf bifurcation and Turing\u2013Hopf bifurcation are generated by varying two parameters in the model. The normal form near the Turing\u2013Hopf singularity is calculated to explore the complex dynamics of the system. Finally, numerical simulations are carried out to verify the theoretical results. Our results show that the Sel\u2019kov\u2013Schnakenberg system exhibits complex dynamics near the Turing\u2013Hopf singularity, including the existence of inhomogeneous steady states, homogeneous periodic solutions and inhomogeneous periodic solutions. <\/jats:p>","DOI":"10.1142\/s0218127423500128","type":"journal-article","created":{"date-parts":[[2023,2,10]],"date-time":"2023-02-10T09:47:44Z","timestamp":1676022464000},"source":"Crossref","is-referenced-by-count":6,"title":["Turing\u2013Hopf Bifurcation Analysis of the Sel\u2019kov\u2013Schnakenberg System"],"prefix":"10.1142","volume":"33","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3370-5336","authenticated-orcid":false,"given":"Yuying","family":"Liu","sequence":"first","affiliation":[{"name":"School of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu 221116, P. R. 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