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The dynamical U(n) quantum group
Published 2006-01-01“…We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R-matrix given by Etingof and Varchenko. …”
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42
Design of a Dynamic Simulator for a Biped Robot
Published 2021-01-01“…Simulation is a virtual representation of a dynamic system. For the case of mechanical systems, the simulator is used to calculate the reaction forces between its base and the ground and other constraints. …”
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43
DYNAMIC RESPONSE ANALYSES OF COLLINEAR BARS WITH CONCENTRATED MASSES
Published 2015-01-01“…In this paper,the harmonic dynamic disturbance was considered. At first,the equations to be determined were written out,the linear algebraic equations of the unknown coefficients were obtained utilizing the supposed harmonic solutions with unknown coefficients,boundary conditions of the problem and the dynamic conditions of the concentrated masses. …”
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44
Modal Perturbation Method for the Dynamic Characteristics of Timoshenko Beams
Published 2005-01-01“…In this paper, a modal perturbation method is introduced to approximately determine the dynamic characteristics of a Timoshenko beam. In this approach, the differential equation of motion describing the dynamic behavior of the Timoshenko beam can be transformed into a set of nonlinear algebraic equations. …”
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45
Towards Dynamic Remote Data Auditing in Computational Clouds
Published 2014-01-01“…The majority of these techniques, however, are only applicable for static archive data and are not subject to audit the dynamically updated outsourced data. We propose an effectual RDA technique based on algebraic signature properties for cloud storage system and also present a new data structure capable of efficiently supporting dynamic data operations like append, insert, modify, and delete. …”
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46
Noncommutative Effects on the Fluid Dynamics and Modifications of the Friedmann Equation
Published 2018-01-01“…We propose a new approach in Lagrangian formalism for studying the fluid dynamics on noncommutative space. Starting with the Poisson bracket for single particle, a map from canonical Lagrangian variables to Eulerian variables is constructed for taking into account the noncommutative effects. …”
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47
Quasi-discreted dynamics of a neural net: The lighthouse model
Published 2000-01-01“…This paper studies the features of a net of pulse-coupled model neurons, taking into account the dynamics of dendrites and axons. The axonal pulses are modelled by δ-functions. …”
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48
Sorta Solving the OPF by <italic>Not</italic> Solving the OPF: DAE Control Theory and the Price of Realtime Regulation
Published 2024-01-01“…By <italic>i)</italic> forming the grid dynamics as a system of differential-algebraic equations (DAE) that naturally encode the non-convex OPF power flow constraints, <italic>ii)</italic> utilizing DAE-Lyapunov theory, and <italic>iii)</italic> designing a feedback controller that captures realtime uncertainty while being uncertainty-unaware, the presented approach demonstrates promises of obtaining solutions that are close to the OPF ones without needing to solve the OPF. …”
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49
Differential representations of dynamical oscillator symmetries in discrete Hilbert space
Published 2000-01-01“…As a very important example for dynamical symmetries in the context of q-generalized quantum mechanics the algebra aa†−q−2a†a=1 is investigated. …”
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50
Quantum dynamics of the effective field theory of the Calogero-Sutherland model
Published 2025-03-01“…We consider the known effective field theory of the Calogero-Sutherland model in the thermodynamic limit of large number of particles, obtained from the standard procedure in conformal field theory: the Hilbert space is constructed a priori in terms of irreducible representations of the symmetry algebra, and not by diagonalization of the hamiltonian, which is given in terms of fields that carry representations of the W1+∞ algebra (representing the incompressibility of the Fermi sea). …”
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51
Predecessors Existence Problems and Gardens of Eden in Sequential Dynamical Systems
Published 2019-01-01“…In particular, we solve algebraically such problems in sequential dynamical systems on maxterm and minterm Boolean functions. …”
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52
Eigenvalue Based Approach for Global Consensus in Multiagent Systems with Nonlinear Dynamics
Published 2014-01-01“…The analytical result shows that, for a weakly connected communication graph, the algebraic connectivity of a redefined symmetric matrix associated with the directed graph is used to evaluate the global consensus of the multiagent system with nonlinear dynamics under the common linear consensus protocol. …”
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53
Possibilities of using immersive learning based on abstract highly formalized mathematical models for training future mathematics teachers
Published 2024-12-01“…In the context of immersive learning based on abstract highly formalized mathematical models for preparing future mathematics teachers, dynamic models provide the basis for creating interactive and realistic virtual environments. …”
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54
A Prediction-Correction Dynamic Method for Large-Scale Generalized Eigenvalue Problems
Published 2013-01-01“…This paper gives a new prediction-correction method based on the dynamical system of differential-algebraic equations for the smallest generalized eigenvalue problem. …”
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55
Transformed Calculation Models in Practice of Dynamic Analysis of Fixed Offshore Platform Structures
Published 2024-12-01“…The possibility of analyzing dynamic reactions by a direct method based on the accelerogram of a real earthquake is provided.…”
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56
Symmetry analysis, dynamical behavior, and conservation laws of the dual-mode nonlinear fluid model
Published 2025-01-01“…The study aims to analyze conservation laws and dynamics of the dual-mode Gardner equation for ideal fluid models. …”
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Explicit travelling wave solutions to the time fractional Phi-four equation and their applications in mathematical physics
Published 2025-01-01“…Using the formulation of the conformable fractional derivative it illustrates some of the recovered solutions and analyze their dynamic behavior. The analytical solutions are drawn by using the extended direct algebraic and the Bernoulli Sub-ODE scheme. …”
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59
A Vector Bond Graph Method of Dynamics Modeling for Planar Multi-body Systems with Grooved Sheave
Published 2017-01-01“…Based on this,the procedure to mode planar multi-body systems with grooved sheave by vector bond graph is made. For the algebraic difficulties brought by differential causality and nonlinear junction structure in dynamics modeling of the planar multi-body systems,the effective decoupling method is proposed. …”
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60
Dynamic Response of Parallel Hoisting System under Drive Deviation between Ropes with Time-Varying Length
Published 2017-01-01“…The dynamic responses of parallel hoisting system with time-varying length and rigid guidance under drive deviation are investigated considering tension and torsion characteristics of the ropes. …”
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