کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1867074 | 1038158 | 2012 | 7 صفحه PDF | دانلود رایگان |
Existence of amplitude independent frequencies of oscillation is an unusual property for a nonlinear oscillator. We find that a class of N coupled nonlinear Liénard 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.
► We obtain a class of coupled nonlinear oscillators admitting oscillatory type solutions whose frequencies of oscillations are independent of the amplitudes.
► The system is found to admit periodic and quasiperiodic behavior for suitable parametric choices.
► This system of N coupled nonlinear oscillators is reduced to a single first order ordinary differential equation.
► Complete integrability is proved for a specific parametric choice by obtaining the general solution.
► Another set of N coupled oscillators is proved to be almost integrable.
Journal: Physics Letters A - Volume 376, Issue 32, 25 June 2012, Pages 2188–2194