Action of the monodromy matrix elements in the generalized algebraic Bethe ansatz
Theoretical and Mathematical Physics(Russian Federation), 2023 We consider an $XYZ$ spin chain within the framework of the generalized algebraic Bethe ansatz. We calculate the actions of monodromy matrix elements on Bethe vectors as a linear combination of new Bethe vectors. We also compute the multiple action of the gauge transformed monodromy matrix elements on the pre-Bethe vector and conceive the result in ...
N A Slavnov, Slavnov N A
exaly +4 more sources
Monodromy-matrix description of doubly rotating black rings
Journal of High Energy PhysicsExtending the single-angular-momentum case analyzed in our previous work, we investigate the solution-generating technique based on the Breitenlohner-Maison (BM) linear system for asymptotically flat, stationary, bi-axisymmetric black hole solutions with
Jun-ichi Sakamoto, Shinya Tomizawa
doaj +3 more sources
The monodromy matrix in the F-basis for arbitrary six-vertex models [PDF]
Nuclear Physics B, 2011 We present the expressions for the monodromy matrix elements of the six-vertex model in the F-basis for arbitrary Boltzmann weights. The results rely solely on the property of unitarity and Yang-Baxter relations, avoiding any specific parameterization of the weights.
M J Martins
exaly +3 more sources
Research on the Stability Model in Discrete Dynamical Systems with the Lorenz Attractor and the Kropotov–Pakhomov Neural Network [PDF]
EntropyThis paper explores the dynamic analogy between the discrete Lorenzian attractor and a modified Kropotov–Pakhomov neural network (MRNN). A one-dimensional peak map is used to extract the successive maxima of the Lorenzian system and preserve the basic ...
Ekaterina Antonova Gospodinova
doaj +2 more sources
Computation of the monodromy matrix in floating point arithmetic with the Wilkinson Model
Computers and Mathematics With Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali Osman Çıbıkdiken
exaly +2 more sources
Solution of matrix Riemann-Hilbert problems with quasi-permutation monodromy matrices [PDF]
Mathematische Annalen, 2004 submitted to Math.Annalen 08 ...
D Korotkin, Korotkin D
exaly +4 more sources
Improving the monodromy matrix computation in pathfollowing schemes for nonsmooth dynamics
International Journal of Non-Linear Mechanics, 2023 An enhanced pathfollowing strategy was recently proposed employing a modified Newton–Raphson solver accelerated by a low-cost routine via a Krylov subspace iterator. One of the key points of the numerical strategy is the computation of the Jacobian of the Poincaré map (i.e., the monodromy matrix), which, by serving as iteration matrix, governs both ...
Giovanni Formica +2 more
exaly +3 more sources
International Journal of Electrical Power & Energy SystemsThe modular multilevel converter (MMC) has been widely used in high-voltage/high-power applications, e.g., high-voltage direct current transmission. However, its nonlinear time-periodic nature leads to complex harmonic interactions and then complicates ...
Xiaofan Jia, Hua Ye
doaj +3 more sources
Form factors of the monodromy matrix entries in gl(2|1)-invariant integrable models
Nuclear Physics B, 2016 We study integrable models solvable by the nested algebraic Bethe ansatz and described by gl(2|1) or gl(1|2) superalgebras. We obtain explicit determinant representations for form factors of the monodromy matrix entries. We show that all form factors are
A. Hutsalyuk +4 more
doaj +4 more sources
Stability analysis based on monodromy matrix for switched dynamical systems
Nonlinear Theory and Its Applications IEICE, 2021 Hiroyuki Asahara, Takuji Kousaka
exaly +3 more sources