Das, D. ; Banerjee, D. ; Bhattacharjee, J. K. ; Mallik, A. K. (2011) Counting limit cycles with the help of the renormalization group The European Physical Journal D, 61 (2). pp. 443-448. ISSN 1434-6060
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Official URL: http://doi.org/10.1140/epjd/e2010-00281-6
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 Liénard type. This allows us to address the second part of Hilbert’s sixteenth problem, at least in the weak damping limit.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer Nature Switzerland AG. |
| Keywords: | Renormalization Group; Stable Limit Cycle; Amplitude Equation; Divergent Term; Dimensional Dynamical System. |
| ID Code: | 115864 |
| Deposited On: | 18 Mar 2021 05:39 |
| Last Modified: | 18 Mar 2021 05:39 |
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