Complete transversals of reversible equivariant singularities of vector\n fields

2013/09/07 by Míriam Manoel, Manoel, Miriam, Iris de Oliveira Zeli +1
Mathematics · Physics and Astronomy · #13A50 #34C20 #37C80 #Advanced Topics in Algebra #Dynamical Systems (math.DS) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1309.1904

openalex publication_date 2013/09/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use group representation theory to give algebraic formulae to compute\ncomplete transversals of singularities of vector fields, either in the\nnonsymmetric or in the reversible equivariant contexts. This computation\nproduces normal forms directly, which are used sistematically in the local\nanalysis of symmetric dynamics.\n

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