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Spectrum and generation of the complex Toda lattice
Citation
Barrios Rolania, Maria Dolores and Gascón Márquez, José Ramón (2008). Spectrum and generation of the complex Toda lattice. "Discrete Dynamics in Nature and Society", v. 2009 ; pp. 1-12. ISSN 1026-0226. https://doi.org/10.1155/2009/237487.
Description
| Title: | Spectrum and generation of the complex Toda lattice |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Discrete Dynamics in Nature and Society |
| Date: | January 2008 |
| ISSN: | 1026-0226 |
| Volume: | 2009 |
| Subjects: | |
| Faculty: | Facultad de Informática (UPM) |
| Department: | Lenguajes y Sistemas Informáticos e Ingeniería del Software |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
Sufficient conditions for constructing a set of solutions of the Toda lattice are analyzed. First, under certain conditions the invariance of the spectrum of J t is established in the complex case. Second, given the tri-diagonal matrix J t defining a Toda lattice solution, the dynamic behavior of zeros of polynomials associated to J t is analyzed. Finally, it is shown by means of an example how to apply our results to generate complex solutions of the Toda lattice starting with a given solution.
More information
| Item ID: | 2541 |
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| DC Identifier: | https://oa.upm.es/2541/ |
| OAI Identifier: | oai:oa.upm.es:2541 |
| DOI: | 10.1155/2009/237487 |
| Official URL: | http://www.hindawi.com/journals/ddns/ |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 15 Mar 2010 13:32 |
| Last Modified: | 20 Apr 2016 12:12 |
