Spectrum and Generation of Solutions of the Toda Lattice
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/237487 |
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| _version_ | 1832556576232177664 |
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| author | D. Barrios Rolanía J. R. Gascón Márquez |
| author_facet | D. Barrios Rolanía J. R. Gascón Márquez |
| author_sort | D. Barrios Rolanía |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-dcab939eb8ca402eb2a0c776f0162172 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-dcab939eb8ca402eb2a0c776f01621722025-02-03T05:45:06ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/237487237487Spectrum and Generation of Solutions of the Toda LatticeD. Barrios Rolanía0J. R. Gascón Márquez1Facultad de Informática, Universidad Politécnica de Madrid, 28660 Madrid, SpainÁrea de Matemática, Universidad Nacional Abierta, 1010 Caracas, VenezuelaSufficient 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.http://dx.doi.org/10.1155/2009/237487 |
| spellingShingle | D. Barrios Rolanía J. R. Gascón Márquez Spectrum and Generation of Solutions of the Toda Lattice Discrete Dynamics in Nature and Society |
| title | Spectrum and Generation of Solutions of the Toda Lattice |
| title_full | Spectrum and Generation of Solutions of the Toda Lattice |
| title_fullStr | Spectrum and Generation of Solutions of the Toda Lattice |
| title_full_unstemmed | Spectrum and Generation of Solutions of the Toda Lattice |
| title_short | Spectrum and Generation of Solutions of the Toda Lattice |
| title_sort | spectrum and generation of solutions of the toda lattice |
| url | http://dx.doi.org/10.1155/2009/237487 |
| work_keys_str_mv | AT dbarriosrolania spectrumandgenerationofsolutionsofthetodalattice AT jrgasconmarquez spectrumandgenerationofsolutionsofthetodalattice |