output
20052024
most citedOn the propagation of binary signals in damped mechanical systems of oscillators

57 citations

18 papers

nlin.PS2024★ 4 cited

On the Fractional Dynamics of Kinks in sine-Gordon Models

T. Bountis, J. Cantisán, J. Cuevas-Maraver +2

In the present work we explore the dynamics of single kinks, kink-anti-kink pairs and bound states in the prototypical fractional Klein-Gordon example of the sine-Gordon equation.…

math-ph2023★ 1 cited

A right inverse of curl operator which is divergence free invariant and some applications to generalized Vekua type problems

Briceyda B. Delgado, Jorge E. Macías-Díaz

In this work, we investigate the system formed by the equations and in bounded star-shaped domains of . A Helmho…

astro-ph.IM2022★ 3 cited

Cold Atoms in Space: Community Workshop Summary and Proposed Road-Map

Ivan Alonso, Cristiano Alpigiani, Brett Altschul +246

We summarize the discussions at a virtual Community Workshop on Cold Atoms in Space concerning the status of cold atom technologies, the prospective scientific and societal opportu…

math.CA2019

The set of -harmonic functions in is total in

José Villa-Morales

Let , with , be the fractional -Laplacian operator. We prove that the span of -harmonic functions in is dense in .

math.CO2018★ 24 cited

Best Match Graphs

Manuela Geiß, Edgar Chavez, Marcos Gonzalez +6

THIS IS A CORRECTED VERSION INCLUDING AN APPENDED CORRIGENDUM. Best match graphs arise naturally as the first processing intermediate in algorithms for orthology detection. Let …

math.PR2016

Solution of the Dirichlet problem for the equation by the Monte Carlo method

José Villa-Morales

In this paper we study the Dirichlet problem corresponding to an open bounded set and the operator \begin{equation*} A=\sum_{i=1}^{d}a\frac{\partial ^{2}}…

math.AP2013

Existence of mild solutions for a system of partial differential equations with time-dependent generators

Amanda del Carmen Andrade-González, José Villa-Morales

We give sufficient conditions for global existence of positive mild solutions for the weak coupled system: \begin{eqnarray*} \frac{\partial u_{1}}{\partial t} &=&ρ_{1}t^{ρ_{1}-1}Δ_…

math.CA2012★ 7 cited

Blow up of mild solutions of a system of partial differential equations with distinct fractional diffusions

José Villa-Morales

We give a sufficient condition for blow up of positive mild solutions to an initial value problem for a nonautonomous weakly coupled system with distinct fractional diffusions. The…

math.GR2011

An alternative proof of Hill's criterion of freeness for abelian groups

J. E. Macías-Díaz

In this note, we provide a different proof of Hill's criterion of freeness for abelian groups. Our proof hinges on the construction of suitable families of subgroups of the links i…

math.AC2011★ 3 cited

A generalization of the Pontryagin-Hill theorems to projective modules over Prüfer domains

J. E. Macías-Díaz

Motivated by the Pontryagin-Hill criteria of freeness for abelian groups, we investigate conditions under which unions of ascending chains of projective modules are again projectiv…

math-ph2011★ 13 cited

On the simulation of the energy transmission in the forbidden band-gap of a spatially discrete double sine-Gordon system

J. E. Macías-Díaz

In this work, we present a numerical method to consistently approximate solutions of a spatially discrete, double sine-Gordon chain which considers the presence of external damping…

math.NA2011★ 5 cited

Two finite-difference schemes that preserve the dissipation of energy in a system of modified wave equations

J. E. Macías-Díaz, S. Jerez-Galiano

In this work, we present two numerical methods to approximate solutions of systems of dissipative sine-Gordon equations that arise in the study of one-dimensional, semi-infinite ar…

cond-mat.supr-con2011★ 43 cited

On the transmission of binary bits in discrete Josephson-junction arrays

J. E. Macías-Díaz, A. Puri

In this work, we use supratransmission and infratransmission in the mathematical modeling of the propagation of digital signals in weakly damped, discrete Josephson-junction arrays…

physics.comp-ph2011★ 57 cited

On the propagation of binary signals in damped mechanical systems of oscillators

J. E. Macías-Díaz, A. Puri

In the present work, we explore efficient ways to transmit binary information in discrete, semi-infinite chains of coupled oscillators using the process of nonlinear supratransmiss…

physics.comp-ph2011★ 55 cited

An application of nonlinear supratransmission to the propagation of binary signals in weakly damped, mechanical systems of coupled oscillators

J. E. Macías-Díaz, A. Puri

In the present article, we simulate the propagation of binary signals in semi-infinite, mechanical chains of coupled oscillators harmonically driven at the end, by making use of th…

math.NA2011★ 35 cited

An energy-based computational method in the analysis of the transmission of energy in a chain of coupled oscillators

J. E. Macías-Díaz, A. Puri

In this paper we study the phenomenon of nonlinear supratransmission in a semi-infinite discrete chain of coupled oscillators described by modified sine-Gordon equations with const…

math.PR2006★ 4 cited

Self-Intersection Local Time of -superprocess

L. Mytnik, J. Villa

The existence of self-intersection local time (SILT), when the time diagonal is intersected, of the -superprocess is proved for and for a renormalized SILT when $d…

hep-ph2005★ 4 cited

Electric dipole and magnetic quadrupole moments of the boson via a CP-violating vertex in effective Lagrangians

J. Montano, F. Ramirez-Zavaleta, G. Tavares-Velasco +1

The possibility of nonnegligible electric dipole () and magnetic quadrupole () moments induced by the most general vertex is examined via…