632 citations · 2.2k across the 83 of their papers we have counts for
84 papers
Fractionality and PT-symmetry in an electrical transmission line
Mario I. Molina
We examine the stability of a 1D electrical transmission line in the simultaneous presence of PT-symmetry and fractionality. The array contains a binary gain/loss distribution $γ_{…
The fractional saturable impurity
Mario I. Molina
We examine analytically and numerically the effect of fractionality on a saturable bulk and surface impurity embedded in a 1D lattice. We use a fractional Laplacian introduced prev…
Interplay of fractionality and - symmetry on a 1D lattice
Mario I. Molina
We examine the stability domains of a 1D discrete Schrödinger equation in the simultaneous presence of parity-time () symmetry and fractionality. Direct numerical examina…
A fractional Anderson model
Mario I. Molina
We examine the interplay between disorder and fractionality in a one-dimensional tight-binding Anderson model. In the absence of disorder, we observe that the two lowest energy eig…
Fractional nonlinear surface impurity in a 2D lattice
Mario I. Molina
We study the formation of localized modes around a generalized nonlinear impurity which is located at the boundary of a semi-infinite square lattice, and where we replace the stand…
Transport of localized and extended excitations in one-dimensional electrical lattices
Mario I. Molina
We study the scattering properties of a bi-inductive electrical lattice consisting of a one-dimensional array of coupled LC units. For an initially localized electrical excitation,…