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Ermakov–Lewis invariants and Reid systems | |
HARET CODRATIAN ROSU | |
Acceso Abierto | |
Atribución-NoComercial-SinDerivadas | |
https://doi.org/10.1016/j.physleta.2014.05.008 | |
Ermakov-Lewis invariant Reid system Emden-Fowler equation Abel equation Parametric solu-tion | |
"Reid’s mth-order generalized Ermakov systems of nonlinear coupling constant α are equivalent to an integrable Emden-Fowler equation. The standard Ermakov-Lewis invariant is discussed from this perspective, and a closed formula for the invariant is obtained for the higher-order Reid systems (m ≥ 3). We also discuss the parametric solutions of these systems of equations through the integration of the Emden-Fowler equation and present an example of a dynamical system for which the invariant is equivalent to the total energy." | |
Elsevier | |
2014 | |
Artículo | |
Inglés | |
Público en general | |
Stefan C. Mancas, Haret C. Rosu, Ermakov–Lewis invariants and Reid systems, Physics Letters A, Volume 378, Issue 30, 2014, Pages 2113-2117, ISSN 0375-9601, http://dx.doi.org/10.1016/j.physleta.2014.05.008. | |
CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA | |
Versión aceptada | |
acceptedVersion - Versión aceptada | |
Aparece en las colecciones: | Publicaciones Científicas Nanociencias y Materiales |
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