Results 21 to 30 of about 1,795,811 (300)
Fokker–Planck equation on metric graphs [PDF]
Physica A: Statistical Mechanics and its Applications, 2022 We consider the Fokker-Planck equation on metric graphs. Vertex boundary conditions are imposed in the form of weight continuity and the probability current conservation. Exact solution of the is obtained for star, tree and loop graphs. Applications of the model to Brownian motion in networks and other problems are briefly discussed.
J. Matrasulov, K. Sabirov
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Analysis, Modeling and Simulation of Mechatronic Systems using the Bond Graph Method [PDF]
Modeling, Identification and Control, 2011 The Bond Graph is the proper choice of physical system used for: (i) Modeling which can be applied to systems combining multidisciplinary energy domains, (ii) Analysis to provide a great value proposition for finding the algebraic loops within the system
A. Alabakhshizadeh +3 more
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Poisson equations for elliptic modular graph functions
Physics Letters B, 2021 We obtain Poisson equations satisfied by elliptic modular graph functions with four links. Analysis of these equations leads to a non–trivial algebraic relation between the various graphs.
Anirban Basu
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On the existence of solutions for fractional boundary value problems on the ethane graph
Advances in Difference Equations, 2020 A few researchers have studied fractional differential equations on star graphs. They use star graphs because their method needs a common point which has edges with other nodes while other nodes have no edges between themselves.
Sina Etemad, Shahram Rezapour
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Graph equations for line graphs and total graphs
Discrete Mathematics, 1975 AbstractAll pairs (G,H) of graphs G,H satisfying L(G) = T(H) are determined. The “graph equation“ L(G)= T(H) is also solved.
Dragos M. Cvetkovic, Slobodan K. Simic
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Optimising orbit counting of arbitrary order by equation selection
BMC Bioinformatics, 2019 Background Graphlets are useful for bioinformatics network analysis. Based on the structure of Hočevar and Demšar’s ORCA algorithm, we have created an orbit counting algorithm, named Jesse.
Ine Melckenbeeck +5 more
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Power evaluation of advanced energy-harvester using graphical analysis
Mechanical Engineering Journal, 2015 In this paper, we present the benefits of bond-graph analysis for mechanical-electrical systems, which are energy-harvesters based on structural vibrations and electric loads.
Kanjuro MAKIHARA +3 more
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Different Dynamic Formulations for a Mechanism using Bond Graph
Computer Assisted Methods in Engineering and Science, 2020 For modeling dynamics of mechanisms, various classical formulations are available in the literature. The equations of dynamics given by various classical formulations can also be derived from the bond graph.
Aman Kumar Maini, Anand Vaz
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Governing equation discovery based on causal graph for nonlinear dynamic systems
Machine Learning: Science and Technology, 2023 The governing equations of nonlinear dynamic systems is of great significance for understanding the internal physical characteristics. In order to learn the governing equations of nonlinear systems from noisy observed data, we propose a novel method ...
Dongni Jia +4 more
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Kazdan–Warner equation on graph [PDF]
Calculus of Variations and Partial Differential Equations, 2016 Let $G=(V,E)$ be a finite graph and $Δ$ be the usual graph Laplacian. Using the calculus of variations and a method of upper and lower solutions, we give various conditions such that the Kazdan-Warner equation $Δu=c-he^u$ has a solution on $V$, where $c$ is a constant, and $h:V\rightarrow\mathbb{R}$ is a function.
Grigor'yan, Alexander +2 more
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