Center or Limit Cycle: Renormalization Group as a Probe
Chaotic Dynamics
2015-05-19 v1
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.
Keywords
Cite
@article{arxiv.1005.2858,
title = {Center or Limit Cycle: Renormalization Group as a Probe},
author = {Amartya Sarkar and J. K. Bhattacharjee and Sagar Chakraborty and Dhruba Banerjee},
journal= {arXiv preprint arXiv:1005.2858},
year = {2015}
}