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Artículo
Lower and upper estimates on the excitation threshold for breathers in DNLS lattices
(2009)
We propose analytical lower and upper estimates on the excitation threshold for breathers (in the form of spatially localized and time periodic solutions) in discrete nonlinear Schrödinger (DNLS) lattices with power ...
Artículo
Breathers in a system with helicity and dipole interaction
(American Physical Society, 2002)
Recent papers that have studied variants of the Peyrard-Bishop model for DNA, have taken into account the long range interaction due to the dipole moments of the hydrogen bonds between base pairs. In these models the ...
Artículo
Numerical study of two-dimensional disordered Klein-Gordon lattices with cubic soft anharmonicity
(2001)
Localized oscillations appear both in ordered nonlinear lattices (breathers) and in disordered linear lattices (Anderson modes). Numerical studies on a class of two-dimensional systems of the Klein-Gordon type show that ...
Ponencia
Interaction of moving breathers with an impurity
(World Scientific, 2003)
We analyze the influence of an impurity in the evolution of moving discrete breathers in a Klein–Gordon chain with non-weak nonlinearity. Three different behaviours can be observed when moving breathers interact with the ...
Artículo
Nonlinear localized modes in two-dimensional electrical lattices
(2013)
We report the observation of spontaneous localization of energy in two spatial dimensions in the context of nonlinear electrical lattices. Both stationary and moving self-localized modes were generated experimentally and ...
Artículo
Artículo
Generation of localized modes in an electrical lattice using subharmonic driving
(2012)
We show experimentally and numerically that an intrinsic localized mode (ILM) can be stably produced (and experimentally observed) via subharmonic, spatially homogenous driving in the context of a nonlinear electrical ...
Artículo
Spiral waves solutions in reaction-diffusion equations with symmetries. Analysis through specific models
(IOP Science, 1997)
Symmetries of nonlinear reaction-diffusion equations determine the existence of regular rotating spiral waves. They are only a consequence of kinetics processes and molecular diffusion. We prove the existence of these waves ...
Artículo
Discrete embedded solitary waves and breathers in one-dimensional nonlinear lattices
(Elsevier, 2022-02)
For a one-dimensional linear lattice, earlier work has shown how to systematically construct a slowly- decaying linear potential bearing a localized eigenmode embedded in the continuous spectrum. Here, we extend this idea ...
Capítulo de Libro
Supersonic Kinks in Coulomb lattices
(Springer International Publishing, 2014)
There exist in nature examples of lattices of elements for which the interaction is repulsive, the elements are kept in place because different reasons, as border conditions, geometry (e.g., circular) and, certainly, the ...