Global linearization of periodic difference equations
We deal with m-periodic, n-th order difference equations and study whether they can be globally linearized. We give an affirmative answer when m = n + 1 and for most of the known examples appearing in the literature. Our main tool is a refinement of the Montgomery-Bochner Theorem.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150549 |
| Acceso en línea: | https://ddd.uab.cat/record/150549 https://dx.doi.org/urn:doi:10.3934/dcds.2012.32.1575 |
| Access Level: | acceso abierto |
| Palabra clave: | Periodic maps Periodic difference equations Recurrences Linearization |
| Sumario: | We deal with m-periodic, n-th order difference equations and study whether they can be globally linearized. We give an affirmative answer when m = n + 1 and for most of the known examples appearing in the literature. Our main tool is a refinement of the Montgomery-Bochner Theorem. |
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