Codimension-two singularities of reversible vector fields in 3D

DOI10.1007/BF02969349zbMath1064.37017OpenAlexW2065713062MaRDI QIDQ1773064

João Carlos da Rocha Medrado, Marco Antonio Teixeira

Publication date: 23 April 2005

Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02969349

zbMATH Keywords

bifurcationnormal formssingularityreversibility

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Normal forms on manifolds (58K50) Classification; finite determinacy of map germs (58K40)

Related Items (2)

Darboux integrability and reversible quadratic vector fields ⋮ Stability conditions for reversible and partially integrable systems

Cites Work

• Symmetric singularities of reversible vector fields in dimension three
• Reversible systems
• Reversing \(k\)-symmetries in dynamical systems
• Normal forms for functions near degenerate critical points, the Weyl groups of A\(_k\), D\(_k\), E\(_k\) and lagrangian singularities
• Generic one-parameter families of vector fields on two-dimensional manifolds
• Polynomial normal forms for vector fields on \(\mathbf R^3\)
• Versal topological stratification and the bifurcation geometry of map-germs of the plane
• INDICES OF SINGULAR POINTS OF 1-FORMS ON A MANIFOLD WITH BOUNDARY, CONVOLUTION OF INVARIANTS OF REFLECTION GROUPS, AND SINGULAR PROJECTIONS OF SMOOTH SURFACES
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