From the Toda lattice to the Volterra lattice and back

Pantelis A. Damianou; Rui Loja Fernandez

doi:10.1016/S0034-4877(02)80066-0

From the Toda lattice to the Volterra lattice and back

Pantelis A. Damianou, Rui Loja Fernandez

Research output: Contribution to journal › Review article › peer-review

Abstract

We discuss the relationship between the multiple Hamiltonian structures of the generalized Toda lattices and that of the generalized Volterra lattice.

Original language	English (US)
Pages (from-to)	361-378
Number of pages	18
Journal	Reports on Mathematical Physics
Volume	50
Issue number	3
DOIs	https://doi.org/10.1016/S0034-4877(02)80066-0
State	Published - Dec 2002
Externally published	Yes

Keywords

Integrable systems
Toda lattices
Volterra lattices

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

Online availability

10.1016/S0034-4877(02)80066-0

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title = "From the Toda lattice to the Volterra lattice and back",

abstract = "We discuss the relationship between the multiple Hamiltonian structures of the generalized Toda lattices and that of the generalized Volterra lattice.",

keywords = "Integrable systems, Toda lattices, Volterra lattices",

author = "Damianou, {Pantelis A.} and Fernandez, {Rui Loja}",

note = "Funding Information: The second author was supported in part by FCT-Portugal through program POCTI and grant POCTJ/l999/MAT/3308 1. Presented during the conference “Multi-Hamiltonian Structures: Geometric and Algebraic Aspects”, 9-17 August 2001, in Mathematical Conference Center in Bpdlewo, Poland.",

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AU - Damianou, Pantelis A.

AU - Fernandez, Rui Loja

N1 - Funding Information: The second author was supported in part by FCT-Portugal through program POCTI and grant POCTJ/l999/MAT/3308 1. Presented during the conference “Multi-Hamiltonian Structures: Geometric and Algebraic Aspects”, 9-17 August 2001, in Mathematical Conference Center in Bpdlewo, Poland.

PY - 2002/12

Y1 - 2002/12

N2 - We discuss the relationship between the multiple Hamiltonian structures of the generalized Toda lattices and that of the generalized Volterra lattice.

AB - We discuss the relationship between the multiple Hamiltonian structures of the generalized Toda lattices and that of the generalized Volterra lattice.

KW - Integrable systems

KW - Toda lattices

KW - Volterra lattices

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DO - 10.1016/S0034-4877(02)80066-0

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JF - Reports on Mathematical Physics

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From the Toda lattice to the Volterra lattice and back

Abstract

Keywords

ASJC Scopus subject areas

Online availability

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