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

Feng Li
Jing Li
Yusen Wu
Organization: School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang
Journal / Anthology

Applied Mathematics and Computation
Year: 2013
Volume: 220
Page range: 200-207

A class of planar non-analytic systems whose angular speed is constant is investigated in this paper. Those systems could be changed into analytic systems by two transformations, and the recursive formulas to compute the Lyapunov constants are given. Futhermore, with the help of computer algebra system MATHEMATICA, a class of quasi-cubic systems and a class of quasi-quintic systems are investigated, conditions of uniform isochronous center are obtained.

*Applied Mathematics

Non-analytic, Center–focus problem, Lyapunov constant, Uniform isochronous center