Complex isochronous centers and linearization transformations for cubic \(Z_2\)-equivariant planar systems

DOI10.1016/j.jde.2019.10.011OpenAlexW2979595461WikidataQ127150711 ScholiaQ127150711MaRDI QIDQ2286695

Yanyan Li

Publication date: 22 January 2020

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

Full work available at URL: https://doi.org/10.1016/j.jde.2019.10.011

zbMATH Keywords

isochronous centerlinearizationcenter-focus problemperiodic constant

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)

Integrability and non-linearizability of weak saddles in a cubic Kolmogorov model ⋮ Weak Bi-Center and Bifurcation of Critical Periods in a Three-Dimensional Symmetric Quadratic System ⋮ Nilpotent bi-center in continuous piecewise \(\mathbb{Z}_2\)-equivariant cubic polynomial Hamiltonian systems ⋮ Bifurcation of limit cycles and isochronous centers on center manifolds for a class of cubic Kolmogorov systems in \(\mathbb{R}^3\) ⋮ Bifurcation of limit cycles and isochronous centers on center manifolds for four‐dimensional systems ⋮ Complete classification on center of cubic planar systems symmetric with respect to a straight line ⋮ Complex integrability and linearizability of cubic \(Z_2\)-equivariant systems with two \(1:q\) resonant singular points ⋮ BIFURCATION OF LIMIT CYCLES AT A NILPOTENT CRITICAL POINT IN A SEPTIC LYAPUNOV SYSTEM ⋮ Integrability and linearizability of cubic \(Z_2\) systems with non-resonant singular points ⋮ Weak Bi-Center and Critical Period Bifurcations of a Z2-Equivariant Quintic System ⋮ Isochronicity of bi-centers for symmetric quartic differential systems ⋮ Simultaneous integrability and non-linearizability at arbitrary double weak saddles and sole weak focus of a cubic Liénard system

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