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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
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 ...
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Whereas there exists a mathematical proof for one-site breathers stability, and an unpublished one for two-site breathers, the methods for determining the stability properties of multibreathers rely on numerical computation ...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 ...
Artículo
Interaction of moving discrete breathers with vacancies
(2006)
In this paper a Frenkel–Kontorova model with a nonlinear int eraction potential is used to describe a vacancy defect in a crystal. According t o recent numerical results [Cuevas et al . Phys. Lett. A 315, 364 (2003)] ...
Artículo
Breathers in inhomogeneous nonlinear lattices : an analysis via centre manifold reduction
(2009)
We consider an infinite chain of particles linearly coupled to their nearest neighbors and subject to an anharmonic local potential. The chain is assumed weakly inhomogeneous, i.e. coupling constants, particle masses and ...
Artículo
Regular and chaotic transport of discrete solitons in asymmetric potentials
(2010)
Ratchet dynamics of topological solitons of the forced and damped discrete double sine-Gordon system are studied. Directed transport occurring both in regular and in chaotic regions of the phase space and its dependence ...
Artículo
Collective coordinates theory for discrete soliton ratchets in the sine-Gordon model
(American Physical Society, 2014)
A collective coordinate theory is developed for soliton ratchets in the damped discrete sine-Gordon model driven by a biharmonic force. An ansatz with two collective coordinates, namely the center and the width of the ...