Zobrazeno 1 - 10
of 361
pro vyhledávání: '"Ragnisco, O."'
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Volume 4 (October 12, 2024) ocnmp:13947
In the present paper we reconsider the integrable case of the Hamiltonian $N$-species Volterra system, as it has been introduced by Vito Volterra in 1937 and significantly enrich the results already published in the ArXiv in 2019 by two of the presen
Externí odkaz:
http://arxiv.org/abs/2407.09155
In this paper, we investigate the main algebraic properties of the maximally superintegrable system known as "Perlick system type I". All possible values of the relevant parameters, $K$ and $\beta$, are considered. In particular, depending on the sig
Externí odkaz:
http://arxiv.org/abs/1705.04618
We propose an extension of the concept of algebraic entropy, as introduced by Bellon and Viallet for rational maps, to algebraic maps (or correspondences) of a certain kind. The corresponding entropy is an index of the complexity of the map. The defi
Externí odkaz:
http://arxiv.org/abs/1508.01440
We present some observations on the asymptotic behaviour of the coefficients in the Laurent series expansion of solutions of the first Painleve equation. For the general solution, explicit recursive formulae for the Taylor expansion of the tau-functi
Externí odkaz:
http://arxiv.org/abs/1210.6822
Autor:
Ragnisco, O., Zullo, F.
Publikováno v:
J. Phys. A: Math. Theor. 43 (2010) 434029
We construct a two-parameter family of B\"acklund transformations for the trigonometric classical Gaudin magnet. The approach follows closely the one introduced by E.Sklyanin and V.Kuznetsov (1998,1999) in a number of seminal papers, and takes advant
Externí odkaz:
http://arxiv.org/abs/1003.0389
We consider a hierarchy of classical Liouville completely integrable models sharing the same (linear) $r$--matrix structure obtained through an $N$--th jet--extension of $\mathfrak{su}(2)$ rational Gaudin models. The main goal of the present paper is
Externí odkaz:
http://arxiv.org/abs/math-ph/0503002
Autor:
Ragnisco, O., Sasaki, R.
Publikováno v:
J.Phys.A37:469-480,2004
The relationship (resemblance and/or contrast) between quantum and classical integrability in Ruijsenaars-Schneider systems, which are one parameter deformation of Calogero-Moser systems, is addressed. Many remarkable properties of classical Calogero
Externí odkaz:
http://arxiv.org/abs/hep-th/0305120
The dispersionless limit of the scalar nonlocal dbar-problem is derived. It is given by a special class of nonlinear first-order equations. A quasi-classical version of the dbar-dressing method is presented. It is shown that the algebraic formulation
Externí odkaz:
http://arxiv.org/abs/nlin/0103023
Autor:
Musso, F., Ragnisco, O.
The spin 1/2 Calogero-Gaudin system and its q-deformation are exactly solved: a complete set of commuting observables is diagonalized, and the corresponding eigenvectors and eigenvalues are explicitly calculated. The method of solution is purely alge
Externí odkaz:
http://arxiv.org/abs/nlin/0009001
Elementary, one- and two-point, Backlund transformations are constructed for the generic case of the sl(2) Gaudin magnet. The spectrality property is used to construct these explicitly given, Poisson integrable maps which are time-discretizations of
Externí odkaz:
http://arxiv.org/abs/nlin/0007041