Results 51 to 60 of about 5,000 (262)
Hierarchies of Arnold Tongues Generated by High-Dimensional Nilpotent Matrices
Fractal and FractionalArnold tongues are wedge-shaped regions in parameter space associated with mode locking and synchronization phenomena in nonlinear dynamical systems.
Rasa Smidtaite +2 more
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Rank Of bicomplex matrices and system of algebraic equations
In this paper, we study the rank of matrices of bicomplex numbers. The relationship between rank, idempotent column rank and idempotent row rank is examined. Then, the solution of a system of equations in bicomplex space is presented using a new technique.
Amita, Amita +3 more
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Updatable Closed‐Form Evaluation of Arbitrarily Complex Multiport Network Connections
Advanced Electronic Materials, EarlyView.The inverse design of electrically large wave devices often uses reduced‐order multiport models with discrete optimization, requiring many evaluations of complex interconnections between subsystems that differ only in a few blocks. This paper introduces a closed‐form framework enabling efficient Woodbury low‐rank updates of related, previous ...
Hugo Prod'homme, Philipp del Hougne
wiley +1 more source
From su(2) Gaudin Models to Integrable Tops
Symmetry, Integrability and Geometry: Methods and Applications, 2007 In the present paper we derive two well-known integrable cases of rigid body dynamics (the Lagrange top and the Clebsch system) performing an algebraic contraction on the two-body Lax matrices governing the (classical) su(2) Gaudin models.
Matteo Petrera, Orlando Ragnisco
doaj
IEEE Access, 2019 Using a new matrix analysis tool, called semi-tensor product of matrices (STP) developed in recent years, this paper investigates the problem of finding control sets (or dominating sets) of graphs mathematically.
Yongyi Yan +3 more
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SPICE‐Compatible Compact Modeling of Cuprate‐Based Memristors Across a Wide Temperature Range
Advanced Electronic Materials, EarlyView.A physics‐guided compact model for YBCO memristors is introduced, incorporating carrier trapping, field‐induced detrapping, and a differential balance equation to describe their switching dynamics. The model is compared with experiments and implemented in LTspice, allowing realistic circuit‐level simulations.
Thomas Günkel +6 more
wiley +1 more source
AIChE Journal, EarlyView.ABSTRACT Hybrid modeling combines first‐principles equations with a data‐driven subcomponent. Training for the data‐driven part is sensitive to measurement noise when training targets are constructed using pointwise time derivatives. Beyond differentiation errors, hybrid models involve solving an inverse problem to estimate the data‐driven term, which ...
Hangjun Cho +4 more
wiley +1 more source
AIChE Journal, EarlyView.Abstract In cryogenic CO2 desublimation systems where phase change dominates both heat transfer and separation, conventional lumped thermal‐resistance treatments embed interfacial latent heat into an overall heat‐transfer coefficient, obscuring how phase‐change heat is partitioned between the gas phase and the coolant and limiting diagnostic insight ...
Shengwen Xiao +2 more
wiley +1 more source
Questions of existence and uniqueness of the solution of one class of an infinite system of nonlinear two-dimensional equations [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. ИнформатикаThe paper is devoted to the study of one class of infinite systems of nonlinear two-dimensional equations with convex and monotone nonlinearity. The studied class of nonlinear systems of algebraic equations has both theoretical and practical ...
Petrosyan, Haykanush S. +2 more
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ON SOLVABILITY OF AN INFINITE NONLINEAR SYSTEM OF ALGEBRAIC EQUATIONS WITH TEOPLITZ–HANKEL MATRICES
Proceedings of the YSU A: Physical and Mathematical Sciences, 2017 In the present paper a special class of infinite nonlinear system of algebraic equations with Teoplitz–Hankel matrices is studied. Above mentioned class of equations has direct applications in radiative transfer theory. Existence componentwise positive solutions for the system in space l1 are proved and some examples for mentioned equations ...
Kh.A. Khachatryan, M.H. Avetisyan
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