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Mostrando ítems 1-10 de 19
Artículo
Moving discrete breathers in a β-FPU lattice revisited
(Elsevier, 2022-08)
In this work we revisit the existence, stability and dynamical properties of moving discrete breathers in -FPU lattices. On the existence side, we propose a numerical procedure, based on a continuation along a sequence of ...
Artículo
The closeness of the Ablowitz-Ladik lattice to the Discrete Nonlinear Schrödinger equation
(Elsevier, 2022-04)
While the Ablowitz-Ladik lattice is integrable, the Discrete Nonlinear Schrödinger equation, which is more significant for physical applications, is not. We prove closeness of the solutions of both systems in the sense of ...
Artículo
Breather stripes and radial breathers of the two-dimensional sine-Gordon equation
(Elsevier, 2021-03)
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 ana- lytical predictions developed by means ...
Artículo
Reaction-diffusion spatial modeling of COVID-19: Greece and Andalusia as case examples
(American Physical Society, 2021-08)
We examine the spatial modeling of the outbreak of COVID-19 in two regions: the autonomous community of Andalusia in Spain and the mainland of Greece. We start with a zero-dimensional (0D; ordinary-differential-equation-level) ...
Artículo
Floquet solitons in square lattices: Existence, stability, and dynamics
(American Physical Society, 2022-04)
In the present work, we revisit a recently proposed and experimentally realized topological two-dimensional lattice with periodically time-dependent interactions. We identify the fundamental solitons, previously observed ...
Artículo
A quantitative framework for exploring exit strategies from the COVID-19 lockdown
(Elsevier, 2020-11)
Following the highly restrictive measures adopted by many countries for combating the current pandemic, the number of individuals infected by SARS-CoV-2 and the associated number of deaths steadily decreased. This fact, ...
Artículo
Easing COVID-19 lockdown measures while protecting the older restricts the deaths to the level of the full lockdown
(Nature Research, 2021-03)
Guided by a rigorous mathematical result, we have earlier introduced a numerical algorithm, which using as input the cumulative number of deaths caused by COVID-19, can estimate the effect of easing of the lockdown conditions. ...
Artículo
Revisiting multi-breathers in the discrete Klein–Gordon equation: a spatial dynamics approach
(IOP Publishing, 2022-11)
We consider the existence and spectral stability of multi-breather structures in the discrete Klein–Gordon equation, both for soft and hard symmetric potentials. To obtain analytical results, we project the system onto a ...
Artículo
Nonlinear edge modes in a honeycomb electrical lattice near the Dirac points
(Elsevier, 2020-06)
We examine - both experimentally and numerically - a two-dimensional nonlinear driven electrical lattice with honeycomb structure. Drives are considered over a range of frequencies both outside (below and above) and ...
Artículo
The closeness of localized structures between the Ablowitz-Ladik lattice and discrete nonlinear Schrödinger equations: Generalized AL and DNLS systems
(American Institute of Physics, 2022-05)
The Ablowitz–Ladik system, being one of the few integrable nonlinear lattices, admits a wide class of analytical solutions, ranging from exact spatially localized solitons to rational solutions in the form of the ...