Center-focus problem for analytic systems with nonzero linear part

DOI10.1134/S0012266117100160zbMath1385.34026OpenAlexW2769953567MaRDI QIDQ1701782

A. P. Sadovskij

Publication date: 27 February 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117100160

zbMATH Keywords

nilpotent centerlinear center

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05)

Related Items (4)

Algebraic integrability of nilpotent planar vector fields ⋮ Nilpotent centers of a cubic system reducible to a nonlinear vibration system ⋮ RESEARCH ON THE COMPOSITION CENTER OF A CLASS OF RIGID DIFFERENTIAL SYSTEMS ⋮ Gröbner basis of the ideal of focus quantities of the Kukles cubic system

Cites Work

• The analytic and formal normal form for the nilpotent singularity
• A method for characterizing nilpotent centers
• A preparation theorem for codimension-one foliations
• Poincaré map for some polynomial systems of differential equations
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