Birth of attracting compact invariant submanifolds diffeomorphic to moment-angle manifolds in generic families of dynamics
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.
scientific article; zbMATH DE number 5362124