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| HAL: hal-00529905, version 1 |
| arXiv: 1010.5583 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2010-10-27) | v2 (2010-10-29) |
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| On minimal decomposition of $p$-adic polynomial dynamical systems |
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| Fan Ai-Hua 1Lingmin Liao 1, 2 |
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| (2010-10-27) |
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| A polynomial of degree $\ge 2$ with coefficients in the ring of $p$-adic numbers $\mathbb{Z}_p$ is studied as a dynamical system on $\mathbb{Z}_p$. It is proved that the dynamical behavior of such a system is totally described by its minimal subsystems. For an arbitrary quadratic polynomial on $\mathbb{Z}_2$, we exhibit all its minimal subsystems. |
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| 1: | Laboratoire Amiénois de Mathématique Fondamentale et Appliquée (LAMFA) |
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CNRS : UMR6140 – Université de Picardie Jules Verne |
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| 2: | Department of Mathematics |
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Wuhan University |
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| Subject | : | Mathematics/Dynamical Systems Mathematics/Number Theory |
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| Attached file list to this document: | ||||||||||
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| hal-00529905, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00529905 | |
| oai:hal.archives-ouvertes.fr:hal-00529905 | |
| From: Lingmin Liao | |
| Submitted on: Wednesday, 27 October 2010 01:35:17 | |
| Updated on: Wednesday, 27 October 2010 08:26:11 | |
