Renormalization group and isochronous oscillations
arXiv:1110.3628 · doi:10.1140/epjd/e2012-20427-8
Abstract
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