Birth of attracting compact invariant submanifolds diffeomorphic to moment-angle manifolds in generic families of dynamics

DOI10.1016/j.crma.2008.09.017zbMath1152.37014OpenAlexW2003416574MaRDI QIDQ952129

Santiago López de Medrano, Marc Chaperon

Publication date: 6 November 2008

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2008.09.017

zbMATH Keywords

attractorsmoment-angle manifoldscompact intersections of quadricsgeneralized Andronov-Hopf bifurcation

Mathematics Subject Classification ID

Invariant manifold theory for dynamical systems (37D10) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items

Singularities in dynamics: a catastrophic viewpoint ⋮ Topology of the intersections of ellipsoids in \(\mathbb{R}^n\) ⋮ Intersections of quadrics, moment-angle manifolds and connected sums ⋮ Singularities of homogeneous quadratic mappings ⋮ The Stiefel-Whitney classes of moment-angle manifolds are trivial ⋮ From Singularities to Polyhedral Products ⋮ Generalizing the May-Leonard System to Any Number of Species

Cites Work

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• \(C^ k\)-conjugacy of holomorphic flows near a singularity
• Convex polytopes, Coxeter orbifolds and torus actions
• More compact invariant manifolds appearing in the nonlinear coupling of oscillators
• Real quadrics in \(\mathbb C^n\), complex manifolds and convex polytopes
• A new geometric construction of compact complex manifolds in any dimension
• Birth control in generalized Hopf bifurcations
• Invariant manifolds