Completely symmetric centers

DOI10.1007/BF02970870zbMath1067.37020OpenAlexW2086281541MaRDI QIDQ1775405

Michail Zhitomirskii

Publication date: 3 May 2005

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

Full work available at URL: https://doi.org/10.1007/bf02970870

zbMATH Keywords

involutionreversible vector fieldsymmetric center

Mathematics Subject Classification ID

Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Dynamics induced by flows and semiflows (37C10) Differential line geometry (53A25)

Cites Work

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• Normal form of a differential equation, not solvable for the derivative, in a neighborhood of a singular point
• Singularities of vector fields on the plane with pointed direction
• Sur l'existence d'intégrale première pour un germe de forme de Pfaff
• Reversibility and classification of nilpotent centers
• Local normal forms for constrained systems on 2-manifolds
• The focus-centre problem for a type of degenerate system
• Lie groups
• Impasse singularities of differential systems of the form \(A(x) x^{\prime} =F(x)\)
• The center-focus problem and reversibility

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