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A RIGID BODY DYNAMICS DERIVED FROM A CLASS OF EXTENDED GAUDIN MODELS: AN INTEGRABLE DISCRETIZATION
, 2005
"... Abstract. 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 su(2) rational Gaudin models. The main goal of the present paper is the study of the integrable model corresponding to N = 3, s ..."
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Cited by 2 (0 self)
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Abstract. 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 su(2) rational Gaudin models. The main goal of the present paper is the study of the integrable model corresponding to N = 3, since the case N = 2 has been considered by the authors in separate papers, both in the one–body case (Lagrange top) and in the n–body one (Lagrange chain). We now obtain a rigid body associated with a Lie–Poisson algebra which is an extension of the Lie–Poisson structure for the two–field top, thus breaking its semidirect product structure. In the second part of the paper we construct an integrable discretization of a suitable continuous Hamiltonian flow for the system. The map is constructed following the theory of Bäcklund transformations for finite–dimensional integrable systems developed by V.B. Kuznetsov and E.K. Sklyanin. 1.
Discrete reductive perturbation technique
 Jour. Math. Phys
, 2006
"... We expand a partial difference equation (P∆E) on multiple lattices and obtain the P∆E which governs its far field behaviour. The perturbative–reductive approach is here performed on well known nonlinear P∆Es, both integrable and non integrable. We study the cases of the lattice modified Korteweg–de ..."
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Cited by 6 (5 self)
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We expand a partial difference equation (P∆E) on multiple lattices and obtain the P∆E which governs its far field behaviour. The perturbative–reductive approach is here performed on well known nonlinear P∆Es, both integrable and non integrable. We study the cases of the lattice modified Korteweg–de Vries (mKdV) equation, the Hietarinta equation, the lattice Volterra–Kac–Van Moerbeke (VKVM) equation and a non integrable lattice KdV equation. Such reductions allow us to obtain many new P∆Es of the nonlinear Schrödinger (NLS) type. Contents 1
From su(2) Gaudin models to integrable tops
, 2007
"... In the present paper we derive two wellknown integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the twobody Lax matrices governing the (classical) su(2) Gaudin models. The procedure preserves the linear rmatrix formulation of ..."
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Cited by 5 (0 self)
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In the present paper we derive two wellknown integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the twobody Lax matrices governing the (classical) su(2) Gaudin models. The procedure preserves the linear rmatrix formulation of the ancestor models. We give the Lax representation of the resulting integrable systems in terms of su(2) Lax matrices with rational and elliptic dependencies on the spectral parameter. We finally give some results about the manybody extensions of the constructed systems.
Bäcklund transformations for the rational
"... This article is a part of the special issue titled “Symmetries and Integrability of Difference Equations (SIDE VI)” We consider a long–range homogeneous chain where the local variables are the generators of the direct sum of N e(3) interacting Lagrange tops. We call this classical integrable model ..."
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This article is a part of the special issue titled “Symmetries and Integrability of Difference Equations (SIDE VI)” We consider a long–range homogeneous chain where the local variables are the generators of the direct sum of N e(3) interacting Lagrange tops. We call this classical integrable model rational “Lagrange chain ” showing how one can obtain it starting from su(2) rational Gaudin models. Moreover we construct one and two–point integrable maps (Bäcklund transformations). 1
An integrable discretization of the rational su(2) Gaudin model and related systems, Comm. Math. Phys. 283 (2008), 227–253, arXiv:0707.4088. Ragnisco O., Zullo F., Bäcklund transformations for the trigonometric Gaudin magnet
 in What is Integrability?, Editor V.E. Zakharov, Springer Ser. Nonlinear Dynam
, 912
"... Abstract. The first part of the present paper is devoted to a systematic construction of continuoustime finitedimensional integrable systems arising from the rational su(2) Gaudin model through certain contraction procedures. In the second part, we derive an explicit integrable Poisson map discret ..."
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Cited by 3 (1 self)
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Abstract. The first part of the present paper is devoted to a systematic construction of continuoustime finitedimensional integrable systems arising from the rational su(2) Gaudin model through certain contraction procedures. In the second part, we derive an explicit integrable Poisson map discretizing a particular Hamiltonian flow of the rational su(2) Gaudin model. Then, the contraction procedures enable us to construct explicit integrable discretizations of the continuous systems derived in the first part of the paper. 1.
Gaudin models with Uq(osp(12)) symmetry
, 2005
"... We consider a Gaudin model related to the qdeformed superalgebra Uq(osp(12)). We present an exact solution to that system diagonalizing a complete set of commuting observables, and providing the corresponding eigenvectors and eigenvalues. The approach used in this paper is based on the coalgebra s ..."
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Cited by 1 (1 self)
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We consider a Gaudin model related to the qdeformed superalgebra Uq(osp(12)). We present an exact solution to that system diagonalizing a complete set of commuting observables, and providing the corresponding eigenvectors and eigenvalues. The approach used in this paper is based on the coalgebra supersymmetry of the model.
Bäcklund transformations for the rational Lagrange chain
, 2004
"... We consider a long–range homogeneous chain where the local variables are the generators of the direct sum of N e(3) interacting Lagrange tops. We call this classical integrable model rational “Lagrange chain” showing how one can obtain it starting from su(2) rational Gaudin models. Moreover we const ..."
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Cited by 1 (1 self)
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We consider a long–range homogeneous chain where the local variables are the generators of the direct sum of N e(3) interacting Lagrange tops. We call this classical integrable model rational “Lagrange chain” showing how one can obtain it starting from su(2) rational Gaudin models. Moreover we construct one and two–point integrable maps (Bäcklund transformations).
and The Study Group for NonCeliac Gluten Sensitivity
"... An Italian prospective multicenter survey on ing nonceliac gluten Based on our results, the prevalence of NCGS seems to be only slightly higher than that of celiac disease. Volta et al. BMC Medicine 2014, 12:85 ..."
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Cited by 2 (1 self)
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An Italian prospective multicenter survey on ing nonceliac gluten Based on our results, the prevalence of NCGS seems to be only slightly higher than that of celiac disease. Volta et al. BMC Medicine 2014, 12:85
3/104 About DEI
"... 1960. A new building was constructed in Via Gradenigo, partially located in the old Orto Agrario, and in 1966 ..."
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1960. A new building was constructed in Via Gradenigo, partially located in the old Orto Agrario, and in 1966
unknown title
, 2013
"... Person reidentification is the problem of recognising and associating a person at different physical locations and time after the person had been previously observed visually elsewhere. Solving the reidentification problem has gained a rapid increase of attention in both the academic research comm ..."
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Person reidentification is the problem of recognising and associating a person at different physical locations and time after the person had been previously observed visually elsewhere. Solving the reidentification problem has gained a rapid increase of attention in both the academic research communities and the industrial laboratories in recent years. The problem has many manifestations from different application domains. For instance, the problem is known as “reacquisition ” when the aim is to associate a target (person) when it is temporarily occluded during the tracking in a single camera view. On the other hand, in domotics applications or personalised healthcare environments, the primary aim is to retain the identity of a person whilst one moves about in a private home of distributed spaces, e.g. acrossing multiple rooms. Reidentification can provide a useful tool for validating the identity of impaired or elderly people in a seamless way without the need of more invasive biometric verification procedures, e.g. controlled face or fingerprint recognition. Moreover, in a humanrobot interaction scenario, solving the reidentification problem can be considered as “noncooperative target recognition”, where the iden
Results 1  10
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