57 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- LSU New OrleansUS4 papers
- Stanford UniversityUS2 papers
- Tallinn UniversityEE2 papers
- University of California, RiversideUS2 papers
- University of ViennaAT2 papers
- Aarhus UniversityDK1 paper
- Agenzia Spaziale ItalianaIT1 paper
- AlbaNovaSE1 paper
- Bates CollegeUS1 paper
- Beijing Academy of Quantum Information SciencesCN1 paper
- Benemérita Universidad Autónoma de PueblaMX1 paper
- Brown UniversityUS1 paper
8 papers · 1 filter
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…
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…
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…
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…
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…
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…
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…
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…