91 citations · 537 across the 37 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2022
Localized eigenvectors on metric graphs
H. Kravitz, M. Brio, J. -G. Caputo
Using our previously published algorithm, we analyze the eigenvectors of the generalized Laplacian for two metric graphs occurring in practical applications. As expected, localizat…
math-ph2015★ 22 cited
Wave dynamics on networks: method and application to the sine-Gordon equation
Denys Dutykh, Jean-Guy Caputo
We consider a scalar Hamiltonian nonlinear wave equation formulated on networks; this is a non standard problem because these domains are not locally homeomorphic to any subset of…
math-ph2011★ 11 cited
Reaction-diffusion front crossing a local defect
Jean-Guy Caputo, Benoit Sarels
The interaction of a Zeldovich reaction-diffusion front with a localized defect is studied numerically and analytically. For the analysis, we start from conservation laws and devel…