Renormalization group and isochronous oscillations

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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Scientific paper

We show how the condition of isochronicity can be studied for two dimensional
systems in the renormalization group (RG) context. We find a necessary
condition for the isochronicity of the Cherkas and another class of cubic
systems. Our conditions are satisfied by all the cases studied recently by
Bardet et al \cite{bard} and Ghose Choudhury and Guha

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