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Artículo
Pterobreathers in a model for a layered crystal with realistic potentials: Exact moving breathers in a moving frame
(American Physical Society, 2019-08-12)
In this article we perform a thorough analysis of breathers in a one-dimensional model for a layered silicate for which there exists fossil and experimental evidence of moving excitations along the close-packed lines 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
Frequency–momentum representation of moving breathers in a two dimensional hexagonal lattice
(ScienceDirect, 2022-12)
We study nonlinear excitations propagating in a hexagonal layer which is a model for the cation layer of silicates. We consider their properties in the frequency–momentum or ω − k representation, extending the theory on ...
Artículo
Escape dynamics in the discrete repulsive φ4 model
(2013)
We study deterministic escape dynamics of the discrete Klein-Gordon model with a repulsive quartic on-site potential. Using a combination of analytical techniques, based on differential and algebraic inequalities and ...
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 ...
Capítulo de Libro
A Supersonic Crowdion in Mica Ultradiscrete Kinks with Energy between 40K Recoil and Transmission Sputtering
(Springer, 2015)
In this work we analyze in detail the behaviour and properties of the kinks found in an one dimensional model for the close packed rows of potassium ions in mica muscovite. The model includes realistic potentials obtained ...
Artículo
Breathers for the discrete nonlinear Schrödinger equation with nonlinear hopping
(2013)
We discuss the existence of breathers and lower bounds on their power, in nonlinear Schrödinger lattices with nonlinear hopping. Our methods extend from a simple variational approach to fixed-point arguments, deriving lower ...
Artículo
Nonlinear waves in a model for silicate layers
(American Institute of Physics, 2018-08-24)
Some layered silicates are composed of positive ions, surrounded by layers of ions with opposite sign. Mica muscovite is a particularly interesting material, because there exist fossil and experimental evidence for ...
Artículo
Existence, stability and spatio-temporal dynamics of time-quasiperiodic solutions on a finite background in discrete nonlinear Schrödinger models
(Elsevier, 2024-07)
In the present work we explore the potential of models of the discrete nonlinear Schrödinger (DNLS) type to support spatially localized and temporally quasiperiodic solutions on top of a finite background. Such solutions ...