Results 51 to 60 of about 71,081 (192)

A Biophysical Approach to the Design of Networks of Communication Systems

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Inspired by the growth dynamics of the protist Physarum polycephalum, we employ a formalism that describes adaptive, incompressible Hagen‐Poiseuille flows on channel networks to identify graphs connecting different nodes within Euclidean space. These graphs are either suboptimal or optimal relative to their length.
Rodrigo Almeida, Ana Filipa Valente, Rui Dilão   +2 more
wiley   +1 more source

Analyzing Some Structural Properties of Topological B-Algebras

International Journal of Mathematics and Mathematical Sciences, 2019
In this study, we investigate the topology on B-algebras: an algebraic system of propositional logic. We define here the notion of topological B-algebras (briefly, TB-algebras) and some properties are investigated. A characterization of TB-algebras based
Narciso C. Gonzaga
doaj   +1 more source

Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
wiley   +1 more source

Examples of Lie and Balinsky-Novikov algebras related to Hamiltonian operators

Topological Algebra and its Applications, 2018
We study algebraic properties of Poisson brackets on non-associative non-commutative algebras, compatible with their multiplicative structure. Special attention is paid to the Poisson brackets of the Lie-Poisson type, related with the special Lie ...
Artemovych Orest D., Prykarpatski Anatolij K., Blackmore Denis L.   +2 more
doaj   +1 more source

Vertex algebras at the corner

Journal of High Energy Physics, 2019
We introduce a class of Vertex Operator Algebras which arise at junctions of supersymmetric interfaces in N $$ \mathcal{N} $$ = 4 Super Yang Mills gauge theory.
Davide Gaiotto, Miroslav Rapčák
doaj   +1 more source

Brillouin Klein bottle from artificial gauge fields

Nature Communications, 2022
Topological states are exploited based on crystalline symmetry, but under artificial gauge fields, symmetries may satisfy projective algebras, which remains less studied.
Z. Y. Chen, Shengyuan A. Yang, Y. X. Zhao   +2 more
doaj   +1 more source

From Stability to Chaos: A Complete Classification of the Damped Klein‐Gordon Dynamics

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We investigate the transition between stability and chaos in the damped Klein‐Gordon equation, a fundamental model for wave propagation and energy dissipation. Using semigroup methods and spectral criteria, we derive explicit thresholds that determine when the system exhibits asymptotic stability and when it displays strong chaotic dynamics ...
Carlos Lizama, Marina Murillo‐Arcila, Julio Puerta‐Fernández   +2 more
wiley   +1 more source

On Geometric Topological Algebras

Journal of Mathematical Analysis and Applications, 1993
The paper under review, one of related works by the author [see also the review above], is influenced by, and subsumed under, a programme of sheaf-theoretic treatment of differential geometry, hence the term ``geometric'' for the algebras in the title.
openaire   +2 more sources

Robustness Assessment of Public Transport Networks in Various Graph Representations: Systematic Review, Decision Support, and Case Study

Networks, EarlyView.
ABSTRACT The analysis of certain properties of the underlying graph of a public transport network generates insights about the network's structure. Hereby, the choice of the graph representation depends on a trade‐off between complexity reduction and information preservation to adequately model a public transport network.
Michael Palk, Stefan Voß, Raka Jovanovic   +2 more
wiley   +1 more source

A Universal Meta‐Heuristic Framework for Influence Maximisation in Hypergraphs

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Influence maximisation (IM) aims to select a small number of nodes that are able to maximise their influence in a network and covers a wide range of applications. Despite numerous attempts to provide effective solutions in simple networks, higher‐order interactions between entities in various real‐world systems are usually not taken into ...
Ming Xie, Chuang Liu, Yang Chen, Zi‐Ke Zhang, Xiaoyang Liu, Xiu‐Xiu Zhan   +5 more
wiley   +1 more source