caa a22 4500 445865199 CHVBK 20180317145455.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1140/epjd/e2011-20060-1 doi (NATIONALLICENCE)springer-10.1140/epjd/e2011-20060-1 Center or limit cycle: renormalization group as a probe [Elektronische Daten] [A. Sarkar, J. Bhattacharjee, S. Chakraborty, D. Banerjee] 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. EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2011 Sarkar A. Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, 700098, Kolkata, India aut Bhattacharjee J. Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, 700098, Kolkata, India aut Chakraborty S. NBIA, Niels Bohr Institute, Blegdamsvej 17, 2100, Copenhagen Ø, Denmark aut Banerjee D. Department of Physics, Jadavpur University, 700032, Kolkata, India aut The European Physical Journal D Springer-Verlag 64/2-3(2011-10-01), 479-489 1434-6060 64:2-3<479 2011 64 10053 https://doi.org/10.1140/epjd/e2011-20060-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1140/epjd/e2011-20060-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sarkar A. Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, 700098, Kolkata, India aut NATIONALLICENCE 700 1- Bhattacharjee J. Department of Theoretical Sciences, S. N. Bose National Centre for Basic Sciences, 700098, Kolkata, India aut NATIONALLICENCE 700 1- Chakraborty S. NBIA, Niels Bohr Institute, Blegdamsvej 17, 2100, Copenhagen Ø, Denmark aut NATIONALLICENCE 700 1- Banerjee D. Department of Physics, Jadavpur University, 700032, Kolkata, India aut NATIONALLICENCE 773 0- The European Physical Journal D Springer-Verlag 64/2-3(2011-10-01), 479-489 1434-6060 64:2-3<479 2011 64 10053 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer