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arXiv · 1005.2858

Center or Limit Cycle: Renormalization Group as a Probe

Amartya Sarkar·J. K. Bhattacharjee·Sagar Chakraborty·Dhruba Banerjee
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Abstract

Based on our studies done on two-dimensional autonomous systems, forced non-autonomous systems and time-delayed systems, we propose a unified methodology - that uses renormalization group theory - for finding out existence of periodic solutions in a plethora of nonlinear dynamical systems appearing across disciplines. The technique will be shown to have a non-trivial ability of classifying the solutions into limit cycles and periodic orbits surrounding a center. Moreover, the methodology has a definite advantage over linear stability analysis in analyzing centers.

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Amartya Sarkar, J. K. Bhattacharjee, Sagar Chakraborty, Dhruba Banerjee. 2010-05-17. Center or Limit Cycle: Renormalization Group as a Probe. https://doi.org/10.1140/epjd%2Fe2011-20060-1

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