caa a22 4500 44586818X CHVBK 20180317145504.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1140/epjd/e2010-00281-6 doi (NATIONALLICENCE)springer-10.1140/epjd/e2010-00281-6 Counting limit cycles with the help of the renormalization group [Elektronische Daten] [D. Das, D. Banerjee, J. K. Bhattacharjee, A. K. Mallik] 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. EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg, 2010 Das D. Department of Mathematics, South Point High School, Kolkata, India aut Banerjee D. Department of Physics, Jadavpur University, 700032, Kolkata, India aut Bhattacharjee J. K. S.N. Bose National Centre for Basic Sciences, Kolkata, India aut Mallik A. K. S.N. Bose National Centre for Basic Sciences, Kolkata, India aut The European Physical Journal D Springer-Verlag 61/2(2011-01-01), 443-448 1434-6060 61:2<443 2011 61 10053 https://doi.org/10.1140/epjd/e2010-00281-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1140/epjd/e2010-00281-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Das D. Department of Mathematics, South Point High School, Kolkata, India aut NATIONALLICENCE 700 1- Banerjee D. Department of Physics, Jadavpur University, 700032, Kolkata, India aut NATIONALLICENCE 700 1- Bhattacharjee J. K. S.N. Bose National Centre for Basic Sciences, Kolkata, India aut NATIONALLICENCE 700 1- Mallik A. K. S.N. Bose National Centre for Basic Sciences, Kolkata, India aut NATIONALLICENCE 773 0- The European Physical Journal D Springer-Verlag 61/2(2011-01-01), 443-448 1434-6060 61:2<443 2011 61 10053 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer