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arxiv: 1110.3628 · v1 · pith:EM2JKY2Dnew · submitted 2011-10-17 · 🌊 nlin.CD

Renormalization group and isochronous oscillations

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keywords conditiongroupisochronicityrenormalizationstudiedsystemsanotherbard
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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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