%0 Journal Article
%T A class of solvable coupled nonlinear oscillators with amplitude independent frequencies
%A V. K. Chandrasekar
%A Jane H. Sheeba
%A R. Gladwin Pradeep
%A R. S. Divyasree
%A M. Lakshmanan
%J Physics
%D 2012
%I arXiv
%X Existence of amplitude independent frequencies of oscillation is an unusual property for a nonlinear oscillator. We find that a class of N coupled nonlinear Li\'enard type oscillators exhibit this interesting property. We show that a specific subset can be explicitly solved from which we demonstrate the existence of periodic and quasiperiodic solutions. Another set of $N$-coupled nonlinear oscillators, possessing the amplitude independent nature of frequencies, is almost integrable in the sense that the system can be reduced to a single nonautonomous first order scalar differential equation which can be easily integrated numerically.
%U http://arxiv.org/abs/1204.6166v1