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Bifurcation Chaos"],"published-print":{"date-parts":[[2019,11]]},"abstract":"<jats:p> Intuitively, a finite-dimensional autonomous system of ordinary differential equations can only generate finitely many chaotic attractors. Amazingly, however, this paper finds a three-dimensional autonomous dynamical system that can generate infinitely many chaotic attractors. Specifically, this system can generate infinitely many coexisting chaotic attractors and infinitely many coexisting periodic attractors in the following three cases: (i) no equilibria, (ii) only infinitely many nonhyperbolic double-zero equilibria, and (iii) both infinitely many hyperbolic saddles and nonhyperbolic pure-imaginary equilibria. By analyzing the stability of double-zero and pure-imaginary equilibria, it is shown that the classic Shil\u2019nikov criteria fail in verifying the existence of chaos in the above three cases. <\/jats:p>","DOI":"10.1142\/s0218127419501669","type":"journal-article","created":{"date-parts":[[2019,11,19]],"date-time":"2019-11-19T03:24:37Z","timestamp":1574133877000},"page":"1950166","source":"Crossref","is-referenced-by-count":19,"title":["A 3D Autonomous System with Infinitely Many Chaotic Attractors"],"prefix":"10.1142","volume":"29","author":[{"given":"Ting","family":"Yang","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, P. R. China"},{"name":"School of Information Technology, Jiangxi University of Finance and Economics, Nanchang 330013, P. R. 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