| dc.creator | Toni, Bourama | |
| dc.date | 2013-03-01 | |
| dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1324 | |
| dc.identifier | 10.4067/S0719-06462013000100009 | |
| dc.description | We investigate the existence of pseudo-almost limit cycles, a new class of non-periodicity at the interface of the theories of limit cycles and pseudo-almost periodicity. We determine the conditions of existence for several systems including some pseudo-almost periodic perturbations of the harmonic oscillator and the renowned Li´enard systems. We apply to derive the existence of pseudo-almost periodic solitary waves by perturbing first then transforming some hyperbolic and parabolic partial differential equations to Li´enard-type equations. Included also are open questions on the co-existence of limit cycles and strictly pseudo-almost periodic limit cycles partitioning the phase space, and the existence of isochronous pseudo-almost limit cycles. | en-US |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
| dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1324/1179 | |
| dc.source | CUBO, A Mathematical Journal; Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal; 131–149 | en-US |
| dc.source | CUBO, A Mathematical Journal; Vol. 15 Núm. 1 (2013): CUBO, A Mathematical Journal; 131–149 | es-ES |
| dc.source | 0719-0646 | |
| dc.source | 0716-7776 | |
| dc.subject | Limit cycles | en-US |
| dc.subject | Almost and pseudo-almost periodic orbits | en-US |
| dc.subject | Periodic waves | en-US |
| dc.subject | Isochronous systems and Isochrons | en-US |
| dc.subject | Li´enard systems | en-US |
| dc.subject | Hyperbolic and parabolic equations | en-US |
| dc.title | Planar Pseudo-almost Limit Cycles and Applications to solitary Waves | en-US |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
