Birth of attracting compact invariant submanifolds diffeomorphic to moment-angle manifolds in generic families of dynamics
type: Item
instance of: scholarly article
title: Birth of attracting compact invariant submanifolds diffeomorphic to moment-angle manifolds in generic families of dynamics
zbMATH Open document ID: 1152.37014
author: Marc Chaperon
author: Santiago Lopez de Medrano
published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris
publication date: 2008-11-06T00:00:00Z
review text: The generic intersections of special quadrics in \(\mathbb{C}^n\) considered in the reviewed article were introduced in [\textit{M. Chaperon}, Géométrie différentielle et singularités de systèmes dynamiques. Paris: Société Mathématique de France (1986; Zbl 0601.58002)] as ``quasiquotients'' of linear \(\mathbb{R}^k\)-actions and in [\textit{M. Chaperon}, Publ. Math., Inst. Hautes Étud. Sci. 64, 143--183 (1986; Zbl 0625.57011)] in the case of holomorphic arbitrary simple convex polytope. The main result of the article: All the compact intersections of quadrios known as moment-angle manifolds appear as attractors in generalized Andronov-Hopf bifurcation.
Mathematics Subject Classification ID: 37D10
Mathematics Subject Classification ID: 37G35
zbMATH DE Number: 5362124
zbMATH Keywords: moment-angle manifolds
zbMATH Keywords: compact intersections of quadrics
zbMATH Keywords: generalized Andronov-Hopf bifurcation
zbMATH Keywords: attractors
reviewed by: Boris V. Loginov
MaRDI profile type: Publication
full work available at URL: j.crma.2008.09.017
OpenAlex ID: W2003416574
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DOI: 10.1016/J.CRMA.2008.09.017
description: scientific article; zbMATH DE number 5362124