Computing center conditions for non-analytic vector fields with constant angular speed

DOI10.1016/j.amc.2013.05.061zbMath1329.34096OpenAlexW1989488652MaRDI QIDQ902493

Jing Li, Yusen Wu, Feng Li

Publication date: 18 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://zenodo.org/record/1333544

zbMATH Keywords

Lyapunov constantcenter-focus problemuniform isochronous centernon-analytic

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) Qualitative theory for ordinary differential equations (34C99)

Uses Software

• Mathematica

Cites Work

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• Classification of the centers, their cyclicity and isochronicity for the generalized quadratic polynomial differential systems
• Classification of the centers, of their cyclicity and isochronicity for two classes of generalized quintic polynomial differential systems
• Isochronous centers of a linear center perturbed by fourth degree homogeneous polynomial
• An explicit expression of the first Lyapunov and period constants with applications
• A new method to determine isochronous center conditions for polynomial differential systems.
• Center conditions for a simple class of quintic systems
• Computing center conditions for vector fields with constant angular speed
• A class of reversible cubic systems with an isochronous center
• Geometry of the uniformly isochronous centers with polynomial commutator
• Isochronous centers of a linear center perturbed by fifth degree homogeneous polynomials

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