Damianou P. Generalized Toda and Volterra systems, talk at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic (abstract): Difference between revisions
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| title = Generalized Toda and Volterra systems | | title = Generalized Toda and Volterra systems | ||
| abstract = We define some new, integrable Toda and Volterra type systems. More specifically, we construct a large family of Hamiltonian systems which interpolate between the tridiagonal and full version of the system. In the case of Toda there is one such system for every nilpotent ideal in the Borel subalgebra. In the case of Volterra lattices, the Hamiltonian vector field of the new systems is homogeneous cubic but in a number of cases a simple change of variables transforms such a system to a quadratic Lotka-Volterra system. | | abstract = We define some new, integrable Toda and Volterra type systems. More specifically, we construct a large family of Hamiltonian systems which interpolate between the tridiagonal and full version of the system. In the case of Toda there is one such system for every nilpotent ideal in the Borel subalgebra. In the case of Volterra lattices, the Hamiltonian vector field of the new systems is homogeneous cubic but in a number of cases a simple change of variables transforms such a system to a quadratic Lotka-Volterra system. | ||
| slides = | | slides = [[Media:Damianou P. Generalized Toda and Volterra systems (presentation at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic).pdf|Damianou P. Generalized Toda and Volterra systems (presentation at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic).pdf]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7986-89-85 | | 79YY-MM-DD = 7986-89-85 | ||
}} | }} | ||
Latest revision as of 13:42, 13 November 2013
Speaker: Pantelis Damianou
Title: Generalized Toda and Volterra systems
Abstract:
We define some new, integrable Toda and Volterra type systems. More specifically, we construct a large family of Hamiltonian systems which interpolate between the tridiagonal and full version of the system. In the case of Toda there is one such system for every nilpotent ideal in the Borel subalgebra. In the case of Volterra lattices, the Hamiltonian vector field of the new systems is homogeneous cubic but in a number of cases a simple change of variables transforms such a system to a quadratic Lotka-Volterra system.