Symmetries and linearization of ordinary difference equations

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The connection between symmetries and linearizations of discrete-time dynamical systems is being inverstigated. It is shown, that existence of semigroup structures related to the vector field and having linear representations enables reduction of linearization problem to a system of first order partial differential equations. By means of inverse of the Poincare map one can relate symmetries in such linearizable systems to continuous and discrete ones of the corresponding differential equations.
7 pages, LaTeX2e, 4 PostScript figures

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Exactly Solvable and Integrable Systems, Chaotic Dynamics

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http://salesiana.dossiersoluciones.com/handle/123456789/80565

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0309055
 http://arxiv.org/abs/nlin/0309055

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arXiv