PERIODIC CONSTANTS AND TIME-ANGLE DIFFERENCE OF ISOCHRONOUS CENTERS FOR COMPLEX ANALYTIC SYSTEMS

DOI10.1142/S0218127406017142zbMath1140.34301MaRDI QIDQ5297828

Yi-rong Liu, Ji-Bin Li

Publication date: 13 July 2007

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

isochronous centercentertime-angle difference

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) Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Formal solutions and transform techniques for ordinary differential equations in the complex domain (34M25)

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Cites Work

• Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial
• A new method to determine isochronous center conditions for polynomial differential systems.
• A class of reversible cubic systems with an isochronous center
• A general time-dependent invariant for and integrability of the quadratic system
• HILBERT'S 16TH PROBLEM AND BIFURCATIONS OF PLANAR POLYNOMIAL VECTOR FIELDS
• Invariants for a cubic three-wave system