Spectrum and Generation of Solutions of the Toda Lattice
Joint Authors
Gascón Márquez, J. R.
Barrios Rolanía, D.
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-10-29
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Barrios Rolanía, D.& Gascón Márquez, J. R.. 2009. Spectrum and Generation of Solutions of the Toda Lattice. Discrete Dynamics in Nature and Society،Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-456252
Modern Language Association (MLA)
Barrios Rolanía, D.& Gascón Márquez, J. R.. Spectrum and Generation of Solutions of the Toda Lattice. Discrete Dynamics in Nature and Society No. 2009 (2009), pp.1-12.
https://search.emarefa.net/detail/BIM-456252
American Medical Association (AMA)
Barrios Rolanía, D.& Gascón Márquez, J. R.. Spectrum and Generation of Solutions of the Toda Lattice. Discrete Dynamics in Nature and Society. 2009. Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-456252
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456252
