The Limit Cycles of Lienard Equations in the Strongly Non-Linear Regime
| dc.creator | Lopez, Jose-Luis | |
| dc.creator | Lopez-Ruiz, Ricardo | |
| dc.date | 2002-05-14 | |
| dc.date.accessioned | 2026-07-07T05:34:06Z | |
| dc.date.available | 2026-07-07T05:34:06Z | |
| dc.description | Lienard systems of the form $\ddot{x}+εf(x)\dot{x}+x=0$, with f(x) an even function, are studied in the strongly nonlinear regime ($ε\to\infty$). A method for obtaining the number, amplitude and loci of the limit cycles of these equations is derived. The accuracy of this method is checked in several examples. Lins-Melo-Pugh conjecture for the polynomial case is true in this regime. | |
| dc.description | 22 pages, 0 figures. Published in Chaos, Solitons and Fractals, vol. 11, 747-756 (2001) | |
| dc.identifier | https://arxiv.org/abs/nlin/0205027 | |
| dc.identifier | http://arxiv.org/abs/nlin/0205027 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/80238 | |
| dc.subject | Chaotic Dynamics | |
| dc.subject | Dynamical Systems | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | The Limit Cycles of Lienard Equations in the Strongly Non-Linear Regime | |
| dc.type | text |