Zobrazeno 1 - 10
of 461
pro vyhledávání: '"Caputo J"'
Autor:
Caputo, J. -G., Knippel, A.
We review the properties of eigenvectors for the graph Laplacian matrix, aiming at predicting a specific eigenvalue/vector from the geometry of the graph. After considering classical graphs for which the spectrum is known, we focus on eigenvectors th
Externí odkaz:
http://arxiv.org/abs/2301.08369
Using our previously published algorithm, we analyze the eigenvectors of the generalized Laplacian for two metric graphs occurring in practical applications. As expected, localization of an eigenvector is rare and the network should be tuned to obser
Externí odkaz:
http://arxiv.org/abs/2203.09635
To solve linear PDEs on metric graphs with standard coupling conditions (continuity and Kirchhoff's law), we develop and compare a spectral, a second-order finite difference, and a discontinuous Galerkin method. The spectral method yields eigenvalues
Externí odkaz:
http://arxiv.org/abs/2104.15048
Autor:
Kevrekidis, P. G., Carretero-González, R., Cuevas-Maraver, J., Frantzeskakis, D. J., Caputo, J. -G., Malomed, B. A.
We revisit the problem of transverse instability of a 2D breather stripe of the sine-Gordon (sG) equation. A numerically computed Floquet spectrum of the stripe is compared to analytical predictions developed by means of multiple-scale perturbation t
Externí odkaz:
http://arxiv.org/abs/2007.13222
We characterize the spectrum of the Laplacian of graphs composed of one or two finite or infinite chains connected to a complete graph. We show the existence of localized eigenvectors of two types, eigenvectors that vanish exactly outside the complet
Externí odkaz:
http://arxiv.org/abs/2002.08890
Publikováno v:
In Mathematics and Computers in Simulation December 2023 214:352-372
We analyze an epidemic model on a network consisting of susceptible-infected-recovered equations at the nodes coupled by diffusion using a graph Laplacian. We introduce an epidemic criterion and examine different vaccination/containment strategies: w
Externí odkaz:
http://arxiv.org/abs/1906.07449
Autor:
Lucci, M., Merlo, V., Ottaviani, I., Cirillo, M., Badoni, D., Campanari, V., Salina, G., Caputo, J. G., Loukitch, L.
Publikováno v:
Appl. Phys. Lett. 113, 192601 (2018)
A model for describing interference and diffraction of wave functions of one-dimensional Josephson array interferometers is presented. The derived expression for critical current modulations accounts for an arbitrary number of square junctions, varia
Externí odkaz:
http://arxiv.org/abs/1811.04057
The load-flow equations are the main tool to operate and plan electrical networks. For transmission or distribution networks these equations can be simplified into a linear system involving the graph Laplacian and the power input vector. We show, usi
Externí odkaz:
http://arxiv.org/abs/1808.06906
Publikováno v:
Phys. Rev. E 98, 052217 (2018)
We consider effectively one-dimensional planar and radial kinks in two-dimensional nonlinear Klein-Gordon models and focus on the sine-Gordon model and the $\phi^4$ variants thereof. We adapt an adiabatic invariant formulation recently developed for
Externí odkaz:
http://arxiv.org/abs/1808.02928