Infinitely many periodic attractors for holomorphic maps of 2 variables
type: Item
instance of: scholarly article
title: Infinitely many periodic attractors for holomorphic maps of 2 variables
zbMATH Open document ID: 0878.58044
DOI: 10.2307/2951819
author: Greg Buzzard
published in: Annals of Mathematics. Second Series
publication date: 1998-01-08T00:00:00Z
review text: 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 [\textit{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.
Mathematics Subject Classification ID: 37C70
zbMATH DE Number: 1014531
zbMATH Keywords: discrete dynamical systems
zbMATH Keywords: coexisting periodic attractors
zbMATH Keywords: sinks
zbMATH Keywords: holomorphic maps
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
OpenAlex ID: W2326947810
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description: scientific article; zbMATH DE number 1014531