Spectrum and generation of the complex Toda lattice

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
Author/s:
  • Barrios Rolania, Maria Dolores
  • Gascón Márquez, José Ramón
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

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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
DC Identifier: http://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
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