Dynamics of a Completely Integrable $N$-Coupled Liénard Type Nonlinear Oscillator
| dc.creator | Pradeep, R. Gladwin | |
| dc.creator | Chandrasekar, V. K. | |
| dc.creator | Senthilvelan, M. | |
| dc.creator | Lakshmanan, M. | |
| dc.date | 2008-10-10 | |
| dc.date | 2009-02-17 | |
| dc.date.accessioned | 2026-07-07T12:41:58Z | |
| dc.date.available | 2026-07-07T12:41:58Z | |
| dc.description | We present a system of $N$-coupled Liénard type nonlinear oscillators which is completely integrable and possesses explicit $N$ time-independent and $N$ time-dependent integrals. In a special case, it becomes maximally superintegrable and admits $(2N-1)$ time-independent integrals. The results are illustrated for the N=2 and arbitrary number cases. General explicit periodic (with frequency independent of amplitude) and quasiperiodic solutions as well as decaying type/frontlike solutions are presented, depending on the signs and magnitudes of the system parameters. Though the system is of a nonlinear damped type, our investigations show that it possesses a Hamiltonian structure and that under a contact transformation it is transformable to a system of uncoupled harmonic oscillators. | |
| dc.description | One new section added | |
| dc.identifier | https://arxiv.org/abs/0810.1821 | |
| dc.identifier | http://arxiv.org/abs/0810.1821 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/219924 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Dynamics of a Completely Integrable $N$-Coupled Liénard Type Nonlinear Oscillator | |
| dc.type | text |