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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/1382| Existence of periodic orbits in nonlinear oscillators of Emden–Fowler form | |
| Stefan C. Mancas HARET CODRATIAN ROSU | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1016/j.physleta.2015.11.009 | |
| Nonlinear oscillator Emden–Fowler equation Autonomous two-dimensional ODE system Parametric solution Invariant transformation Pseudo-oscillator | |
| "The nonlinear pseudo-oscillator recently tackled by Gadella and Lara is mapped to an Emden–Fowler (EF) equation that is written as an autonomous two-dimensional ODE system for which we provide the phase-space analysis and the parametric solution. Through an invariant transformation we find periodic solutions to a certain class of EF equations that pass an integrability condition. We show that this condition is necessary to have periodic solutions and via the ODE analysis we also find the sufficient condition for periodic orbits. EF equations that do not pass integrability conditions can be made integrable via an invariant transformation which also allows us to construct periodic solutions to them. Two other nonlinear equations, a zero-frequency Ermakov equation and a positive power Emden–Fowler equation, are discussed in the same context." | |
| Elsevier Science BV | |
| 2016-01 | |
| Artículo | |
| Stefan C. Mancas, Haret C. Rosu, Existence of periodic orbits in nonlinear oscillators of Emden–Fowler form, Physics Letters A, Volume 380, Issue 3, 2016, Pages 422-428. | |
| FÍSICA | |
| Versión revisada | |
| submittedVersion - Versión revisada | |
| Aparece en las colecciones: | Publicaciones Científicas Nanociencias y Materiales |
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