Counting limit cycles with the help of the renormalization group

Das, D. ; Banerjee, D. ; Bhattacharjee, J. K. ; Mallik, A. K. (2011) Counting limit cycles with the help of the renormalization group European Physical Journal D, 61 (2). pp. 443-448. ISSN 1434-6060

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Official URL: http://www.springerlink.com/content/nnv8vv17k11q77...

Related URL: http://dx.doi.org/10.1140/epjd/e2010-00281-6

Abstract

We use the renormalization group to set up an easy algorithm for finding the amplitude equation for an arbitrary two dimensional dynamical system of the Lienard type. This allows us to address the second part of Hilbert's sixteenth problem, at least in the weak damping limit.

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ID Code:73591
Deposited On:07 Dec 2011 05:56
Last Modified:07 Dec 2011 05:56

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