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Then, the local stability of the equilibrium points are discussed, and the stability condition of the Nash equilibrium point is also deduced through Jury criterion. The complex dynamical behaviors of the built model are investigated by numerical simulations. We found that the unique route to chaos is flip bifurcation, and the increase of adjusting speed will cause the system to lose stability and produce more complex dynamic behavior. In addition, we also found the phenomenon of multistability in the given model. Several kinds of coexistence of attractors are shown. In particular, we found that boundary attractors can coexist with internal attractors, which also aggravates the complexity of the system. At last, the chaotic state in the built system has been successfully controlled.<\/jats:p>","DOI":"10.1155\/2020\/9634878","type":"journal-article","created":{"date-parts":[[2020,8,12]],"date-time":"2020-08-12T00:06:02Z","timestamp":1597190762000},"page":"1-19","source":"Crossref","is-referenced-by-count":10,"title":["A Dynamic Duopoly Cournot Model with R&amp;D Efforts and Its Dynamic Behavior Analysis"],"prefix":"10.1155","volume":"2020","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4477-3940","authenticated-orcid":true,"given":"Wei","family":"Zhou","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, China"},{"name":"Research Centre of Game Theory and Economics Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu 730070, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jie","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Mathematics and Physics, 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