Regularity properties of the period function near a center of a planar vector field
Nonlinear Analysis: Theory, Methods & Applications
Isochronous centers in planar polynomial systems
SIAM Journal on Mathematical Analysis
Scientific Computing with Mathematica: Mathematical Problems for Ordinary Differential Equations
Scientific Computing with Mathematica: Mathematical Problems for Ordinary Differential Equations
Mathematical and Computer Modelling: An International Journal
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In this paper a numerical and symbolic procedure is developed to determine periodic solutions of planar autonomous systems. The proposed method supplies the Fourier series of the periodic solutions as well as their period in the presence of isochronous centers and unstable limit cycles.