Results 51 to 60 of about 3,094 (216)

A Unifying Approach to Self‐Organizing Systems Interacting via Conservation Laws

open access: yesAdvanced Intelligent Discovery, EarlyView.
The article develops a unified way to model and analyze self‐organizing systems whose interactions are constrained by conservation laws. It represents physical/biological/engineered networks as graphs and builds projection operators (from incidence/cycle structure) that enforce those constraints and decompose network variables into constrained versus ...
F. Barrows   +7 more
wiley   +1 more source

Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real‐World Data

open access: yesAdvanced Intelligent Discovery, EarlyView.
This article investigates how persistent homology, persistent Laplacians, and persistent commutative algebra reveal complementary geometric, topological, and algebraic invariants or signatures of real‐world data. By analyzing shapes, synthetic complexes, fullerenes, and biomolecules, the article shows how these mathematical frameworks enhance ...
Yiming Ren, Guo‐Wei Wei
wiley   +1 more source

On multiplicity of solutions to nonlinear Dirac equation with local super-quadratic growth

open access: yesAdvances in Nonlinear Analysis
In this article, we study the following nonlinear Dirac equation: −iα⋅∇u+aβu+V(x)u=g(x,∣u∣)u,x∈R3.-i\alpha \hspace{0.33em}\cdot \hspace{0.33em}\nabla u+a\beta u+V\left(x)u=g\left(x,| u| )u,\hspace{1em}x\in {{\mathbb{R}}}^{3}.
Liao Fangfang, Chen Tiantian
doaj   +1 more source

Dirichlet Type Problem for 2D Quaternionic Time-Harmonic Maxwell System in Fractal Domains

open access: yesAdvances in Mathematical Physics, 2020
We investigate an electromagnetic Dirichlet type problem for the 2D quaternionic time-harmonic Maxwell system over a great generality of fractal closed type curves, which bound Jordan domains in R2.
Yudier Peña Pérez   +3 more
doaj   +1 more source

Parametric Analysis of Spiking Neurons in 16 nm Fin Field‐Effect Transistor Technology

open access: yesAdvanced Intelligent Discovery, EarlyView.
Energy efficient computing has driven a shift toward brain‐inspired neuromorphic hardware. This study explores the design of three distinct silicon neuron topologies implemented in 16 nm fin field‐Effect transistor technology. While the Axon‐Hillock design achieves gigahertz throughput, its functional fragility persists. The Morris–Lecar model captures
Logan Larsh   +3 more
wiley   +1 more source

Nonlinear Refractive Index in Rectangular Graphene Quantum Dots

open access: yesApplied Sciences, 2019
Alongside its other favorable properties, the large refraction nonlinearity of graphene-related material makes it ideal for use in optoelectronics applications.
Yonggang Qin, Xiaobo Feng, Yu Liu
doaj   +1 more source

Investigation of Upper Critical Magnetic Field in Two‐Band Model for the Iron‐Based Superconductors Ca0.83La0.17FeAs2 and Ca0.8La0.2Fe0.98Co0.02As2

open access: yesAdvanced Physics Research, EarlyView.
A two‐band Ginzburg–Landau model was applied to investigate the superconducting properties of and. Analytical expressions for critical magnetic fields, coherence length, penetration depth, and anisotropic were derived, showing strong agreement with experimental observations and effectively describing anisotropic multi‐band superconductivity.
Tsadik Kidanemariam   +2 more
wiley   +1 more source

Two‐Dimensional van der Waals Antiferromagnets: Fabrication, Probes, Control, and Applications

open access: yesAdvanced Physics Research, EarlyView.
Two‐dimensional van der Waals antiferromagnets are emerging as versatile platforms for spintronic, optoelectronic, and quantum devices. This review summarizes recent progress in their fabrication, magnetic characterization, fields, interfacial engineering, chemical modification, and representative applications.
Huangyu Wu   +10 more
wiley   +1 more source

Periodic solutions for nonlinear Dirac equation with superquadratic nonlinearity

open access: yesElectronic Journal of Differential Equations, 2016
This article concerns the periodic solutions for a nonlinear Dirac equation. Under suitable assumptions on the nonlinearity, we show the existence of nontrivial and ground state solutions.
Jian Zhang   +3 more
doaj  

Nonlinear equations in private derivatives, related to the operator of Dirak

open access: yesНаука. Инновации. Технологии, 2022
Theory of integrable nonlinear equations possessing soliton solutions of a new type - tipper solitons. The operator examines the design proposed by O.I. Bogoyavlensky, and having attractors in the phase space.
Olga Sergeevna Yanovskaya   +1 more
doaj  

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