Reversibility and quasi-homogeneous normal forms of vector fields

DOI10.1016/j.na.2010.03.046zbMath1202.34069OpenAlexW2025520707MaRDI QIDQ975850

Marco Antonio Teixeira, Antonio Algaba, Cristóbal García

Publication date: 11 June 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.03.046

zbMATH Keywords

normal formreversibilityquasi-homogeneouscenter singular point

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (12)

Classification and counting of planar quasi-homogeneous differential systems through their weight vectors ⋮ Center Problems and Limit Cycle Bifurcations in a Class of Quasi-Homogeneous Systems ⋮ The reversibility and the center problem ⋮ Centers of quasi-homogeneous polynomial planar systems ⋮ Classification of global phase portrait of planar quintic quasi-homogeneous coprime polynomial systems ⋮ Existence of an inverse integrating factor, center problem and integrability of a class of nilpotent systems ⋮ Bifurcation of limit cycles and center problem for \(p : q\) homogeneous weight systems ⋮ Planar semi-quasi homogeneous polynomial differential systems with a given degree ⋮ Characterizing orbital-reversibility through normal forms ⋮ On orbital-reversibility for a class of planar dynamical systems ⋮ A new normal form for monodromic nilpotent singularities of planar vector fields ⋮ Classification of global phase portraits of planar quartic quasi-homogeneous polynomial differential systems

Cites Work

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