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Capítulo de Libro
Classical and quantum nonlinear localized excitations in discrete systems
(Transworld Research Network, 2005)
Discrete breathers, or intrinsic localized modes, are spatially localized, time–periodic, nonlinear excitations that can exist and propagate in systems of coupled dynamical units. Recently, some experiments show the ...
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 ...
Ponencia
Static and moving breathers in a DNA model with competing short–range and long–range dispersive interactions
(2001)
So far, all the studies on breathers on DNA have considered models with either short–range or long-range interaction. However, none of them have considered both kinds of interactions. When both interactions are taken ...
Artículo
Approximation of solitons in the discrete NLS equation
(World Scientific, 2008)
We study four diferent approximations for finding the profile of discrete solitons in the one-dimensional Discrete Nonlinear Schrödinger (DNLS) Equation. Three of them are discrete approximations (namely, a variational ...
Ponencia
Ratchet effect in solids: Defect transport driven by biharmonic forces
(2007)
Interstitials and vacancies, in one-dimensional lattices, are point defects that can be modelled by means of kinks or antikinks in a discrete Frenkel-Kontorova model, with a sine-Gordon on-site potential. The properties ...
Libro
Book of abstracts: NoLineal 2016, International Conference on Nonlinear Mathematics and Physics
(NoLineal 2016Juan F.R. Archilla, 2016-06-07)
Artículo
Bright and dark breathers in Fermi-Pasta-Ulam lattices
(2004)
In this paper we study the existence and linear stability of bright and dark breathers in one-dimensional FPU lattices. On the one hand, we test the range of validity of a recent breathers existence proof [G. James, C. R. ...
Artículo
Demonstration of the stability or instability of multibreathers at low coupling
(2003)
Whereas there exists a mathematical proof for one-site breathers stability, and an unpublished one for two-site breathers, the methods for determining the stability properties of multibreathers rely on numerical computation ...
Artículo
Interaction of moving discrete breathers with interstitial defects
(American Institute of Mathematical Sciences, 2011)
In this paper, interstitial migration generated by scattering with a mobile breather is investigated numerically in a Frenkel-Kontorova onedimensional lattice. Consistent with experimental results it is shown that interstitial ...
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 ...