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arxiv: 0907.1493 · v2 · submitted 2009-07-09 · 🧮 math.DS · math.CA

Isochronicity conditions for some planar polynomial systems

classification 🧮 math.DS math.CA
keywords centersisochronicitymathbbsystemsc-algorithmconditionsequationfound
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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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