Nonlinear superpositions and Ermakov systems

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The theory of superposition rules for solutions of a Lie system of first-order differential equations is extended to deal with analogous systems of second-order and the theory is illustrated with the very rich example of Ermakov-like systems.
18 pages

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Mathematical Physics, 34A26, 34A05

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http://salesiana.dossiersoluciones.com/handle/123456789/171935

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.3494
 http://arxiv.org/abs/0810.3494
 Published in the book: Differential Geometric Methods in Mechanics and Field Theory, pp.15--33, eds F. Cantrijn, M. Crampin and B. Langerock, Academia Press, 2007

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