Results 41 to 50 of about 191,170 (252)

T-systems, Y-systems, and cluster algebras: Tamely laced case

, 2010
The T-systems and Y-systems are classes of algebraic relations originally associated with quantum affine algebras and Yangians. Recently they were generalized to quantum affinizations of quantum Kac-Moody algebras associated with a wide class of ...
Nakanishi, Tomoki
core   +1 more source

On systems of commuting matrices, Frobenius Lie algebras and Gerstenhaber's Theorem

, 2020
This new version V2, 37 pages in Latex, contains substantial deep changes compared to version 1 which was only 12 pages. In particular, the present version includes deep discussions on the classification of 2-step solvable Frobenius Lie algebras and maximal Abelian subalgebras of sl(n,K)
Diatta, Andre, Manga, Bakary, Mbaye, Ameth   +2 more
openaire   +2 more sources

Piecewise continuous approach to nonlinear differential equations approximation problem of computational structural mechanics

MATEC Web of Conferences, 2018
This paper presents a nonlinear differential equations system piecewise continuous approximation. The piecewise continuous approximation improves piecewise linear approximation through reducing the errors at the boundaries of different linear ...
Leibov Roman
doaj   +1 more source

Set Stability and Stabilization of Switched Boolean Networks With State-Based Switching

IEEE Access, 2018
This paper is devoted to studying the set stability and stabilization of switched Boolean networks (SBNs) with state-based switching using the semi-tensor product (STP) of matrices. First, the algebraic form of an SBN is obtained by STP.
Yuanyuan Li, Bowen Li, Yang Liu, Jianquan Lu, Zhen Wang, Fuad E. Alsaadi   +5 more
doaj   +1 more source

Solution of the classical Yang–Baxter equation with an exotic symmetry, and integrability of a multi-species boson tunnelling model

Nuclear Physics B, 2017
Solutions of the classical Yang–Baxter equation provide a systematic method to construct integrable quantum systems in an algebraic manner. A Lie algebra can be associated with any solution of the classical Yang–Baxter equation, from which commuting ...
Jon Links
doaj   +1 more source

An Adaptive Human Pilot Model With Reaction Time Delay for Enhanced Adaptive Control in Piloted Systems

International Journal of Adaptive Control and Signal Processing, EarlyView.
This work introduces an adaptive human pilot model that captures pilot time‐delay effects in adaptive control systems. The model enables the prediction of pilot–controller interactions, facilitating safer integration and improved design of adaptive controllers for piloted applications.
Abdullah Habboush, Yildiray Yildiz
wiley   +1 more source

On computable subgroups of the group of all unitriangular matrices over a ring

Қарағанды университетінің хабаршысы. Математика сериясы, 2017
The problems of existence and uniqueness of computable numberings are fundamental in theory of computably numbered groups. In connection with the development of the theory of algorithms a study of the problems of computability of important classes of ...
R.K. Tyulyubergenev
doaj   +1 more source

On the Realization Theory of Polynomial Matrices and the Algebraic Structure of Pure Generalized State Space Systems [PDF]

International Journal of Applied Mathematics and Computer Science, 2009
On the Realization Theory of Polynomial Matrices and the Algebraic Structure of Pure Generalized State Space SystemsWe review the realization theory of polynomial (transfer function) matrices via "pure" generalized state space system models. The concept of anirreducible-at-infinitygeneralized state space realization of a polynomial matrix is defined ...
Vardulakis, Antonis-Ioannis G., Karampetakis, Nicholas P., Antoniou, Efstathios N., Tictopoulou, Evangelia   +3 more
openaire   +2 more sources

Anomalous Spin‐Optical Helical Effect in Ti‐Based Kagome Metal

Advanced Materials, EarlyView.
The kagome lattice hosts diverse correlated quantum states, including elusive loop currents. We report spin‐handedness selective signals in CsTi3Bi5, termed the anomalous spin‐optical helical effect, surpassing conventional spin responses. Arising from light helicity coupled to spin‐orbital correlations, this effect provides a sensitive, indirect probe
Federico Mazzola, Wojciech Brzezicki, Chiara Bigi, Armando Consiglio, Luciano Jacopo D'Onofrio, Maria Teresa Mercaldo, Adam Kłosiński, François Bertran, Patrick Le Fèvre, Oliver J. Clark, Mark T. Edmonds, Manuel Tuniz, Alessandro De Vita, Vincent Polewczyk, Jeppe B. Jacobsen, Henrik Jacobsen, Jill A. Miwa, Justin W. Wells, Anupam Jana, Ivana Vobornik, Jun Fujii, Niccolo Mignani, Narges Tarakameh Samani, Alberto Crepaldi, Giorgio Sangiovanni, Anshu Kataria, Tommaso Morresi, Samuele Sanna, Pietro Bonfá, Brenden R. Ortiz, Ganesh Pokharel, Stephen D. Wilson, Domenico Di Sante, Carmine Ortix, Mario Cuoco   +34 more
wiley   +1 more source

Numerical Solutions of Coupled Systems of Fractional Order Partial Differential Equations

Advances in Mathematical Physics, 2017
We develop a numerical method by using operational matrices of fractional order integrations and differentiations to obtain approximate solutions to a class of coupled systems of fractional order partial differential equations (FPDEs).
Yongjin Li, Kamal Shah
doaj   +1 more source