Isochronicity conditions for some planar polynomial systems

Details Isochronicity conditions for some planar polynomial systems Isochronicity conditions for some planar polynomial systems

2009-07-09

arxiv.org/abs/0907.1493v2

Mathematics

Dynamical Systems

31 pages

Scientific paper

We study the isochronicity of centers at $O\in \mathbb{R}^2$ for systems
$\dot x=-y+A(x,y), \dot y=x+B(x,y)$, where $A, B\in \mathbb{R}[x,y]$, which can
be reduced to the Lienard type equation. Using the so-called C-algorithm we
have found 27 new multiparameter isochronous centers.

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