Bi-presymplectic chains of co-rank 1 and related Liouville integrable systems

Download

index.pdf

Date

2009-07-17

Author

Blaszak, Maciej
Guerses, Metin
Zheltukhın, Kostyantyn

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

159
views

0
downloads

Bi-presymplectic chains of 1-forms of co-rank 1 are considered. The conditions under which such chains represent some Liouville integrable systems and the conditions under which there exist related bi-Hamiltonian chains of vector fields are derived. To present the construction of bi-presymplectic chains, the notion of a dual Poisson-presymplectic pair is used, and the concept of d-compatibility of Poisson bivectors and d-compatibility of presymplectic forms is introduced. It is shown that bi-presymplectic representation of a related flow leads directly to the construction of separation coordinates in a purely algorithmic way. As an illustration, bi-presymplectic and bi-Hamiltonian chains in R-3 are considered in detail.

Subject Keywords

Chains of co-rank, Co-rank

URI

https://hdl.handle.net/11511/32738

Journal

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

DOI

https://doi.org/10.1088/1751-8113/42/28/285204

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

DFT Studies on eta(6)-Coronene-Cr(CO)(3) Complexes Türker, Burhan Lemi; Guemues, Selcuk (2009-01-01) Two types of Cr(CO)(3) complexes of coronene have been considered theoretically at the level of DFT (B3LYP/6-31G(d)), in order to investigate some molecular orbital, electronic and thermodynamic properties. The effect of complexation on the stability and aromaticity of coronene has been investigated by NICS calculations. According to the results, both in the gas phase and in aqueous solution, B-type complex has been found to be more stable than the A-type, however, the energy difference is such that B to A ...
POLYMERIZATION OF BIS(PYRIDINE)BIS-(2,4,6-TRIBROMOPHENOXO)COPPER(II) COMPLEX (PY2CU(TBRP)2) BY ELECTROOXIDATION AND STRUCTURAL CHARACTERIZATION BY H-1-NMR, C-13-NMR, AND FTIR SPECTROSCOPIES SEN, S; KISAKUREK, D; Toppare, Levent Kamil (Informa UK Limited, 1993-01-01) Electroinitiated polymerization of bis(2,4,6-tribromophenoxo)-bis(pyridine)copper(II) complex was achieved in dimethylformamide-tetrabutylammonium tetrafluoroborate solvent-electrolyte couple under air or nitrogen at room temperature by constant potential electrolysis. Polymerization conditions were based on the peak potentials measured by cyclic voltammetry. The structural analyses of the polymers were done by H-1-NMR, C-13-NMR, and FTIR spectral analyses along with molecular weight measurements by cryosco...
Semileptonic B-c to P-wave charmonia transitions within QCD sum rules Azizi, K.; SUNDU PAMUK, HAYRİYE; BAYAR, MELAHAT (2009-06-01) The form factors of the semileptonic B-c -> S(AV)l nu (l=tau, mu, e) transitions, where S and AV denote the scalar X-c0 and axial-vector (X-c1,h(c)) mesons, are calculated within the framework of the three-point QCD sum rules. The heavy quark effective theory limit of the form factors is also obtained and compared with the values of the original transition form factors. The results of form factors are used to estimate the total decay widths and branching ratios of these transitions. A comparison of our resu...
Tame concealed algebras and cluster quivers of minimal infinite type Buan, Aslak Bakke; Reiten, Idun; Seven, Ahmet İrfan (Elsevier BV, 2007-10) The well-known list of Happel–Vossieck of tame concealed algebras in terms of quivers with relations, and the list of A. Seven of minimal infinite cluster quivers are compared. There is a 1-1 correspondence between the items in these lists, and we explain how an item in one list naturally corresponds to an item in the other list. A central tool for understanding this correspondence is the theory of cluster-tilted algebras.
e(+)e(-)->(hA)->b(b)over-bar-b(b)over-bar in Abelian extended supersymmetric standard model Demir, DA; Pak, Namık Kemal (1997-10-16) We discuss the e(+)e(-)-->(hA)--> cross section in an Abelian extended supersymmetric SM. We work in that minimum of the scalar potential for which Higgs trilinear coupling is greater than the soft mass parameters. We find that next-to-lightest Higgs gives the essential contribution to the cross section in the small Z - Z' mixing angle and leptophobic Z' limit. (C) 1997 Elsevier Science B.V.

Citation Formats

M. Blaszak, M. Guerses, and K. Zheltukhın, “Bi-presymplectic chains of co-rank 1 and related Liouville integrable systems,” JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, pp. 0–0, 2009, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32738.