Buzzard, Gregery T. Infinitely many periodic attractors for holomorphic maps of 2 variables. (English) Zbl 0878.58044 Ann. Math. (2) 145, No. 2, 389-417 (1997). The important development in the study of discrete dynamical systems was Newhouse’s use of persistent homoclinic tangencies to show that a large set of \(C^2\)-diffeomorphisms of compact surfaces have infinitely many coexisting periodic attractors, or sinks [S. E. Newhouse, Prog. Math. 8, 1-114 (1980; Zbl 0444.58001)]. In the present article this result is obtained for various spaces of holomorphic maps of two variables. Reviewer: B.V.Loginov (Ul’yanovsk) Cited in 18 Documents MSC: 37C70 Attractors and repellers of smooth dynamical systems and their topological structure Keywords:discrete dynamical systems; coexisting periodic attractors; sinks; holomorphic maps Citations:Zbl 0444.58001 PDF BibTeX XML Cite \textit{G. T. Buzzard}, Ann. Math. (2) 145, No. 2, 389--417 (1997; Zbl 0878.58044) Full Text: DOI Link OpenURL