[图书][B] The Frenkel-Kontorova model: concepts, methods, and applications

OM Braun, YS Kivshar - 2004 - Springer
Theoretical physics deals with physical models. The main requirements for a good physical
model are simplicity and universality. Universal models which can be applied to describe a …

Anomalous resonance phenomena of solitary waves with internal modes

NR Quintero, A Sánchez, FG Mertens - Physical Review Letters, 2000 - APS
We investigate the nonparametric, pure ac driven dynamics of nonlinear Klein-Gordon
solitary waves having an internal mode of frequency Ω i. We show that the strongest …

ac driven sine-Gordon solitons: dynamics and stability

NR Quintero, A Sánchez - The European Physical Journal B-Condensed …, 1998 - Springer
The ac driven sine-Gordon equation is studied analytically and numerically, with the aim of
providing a full description of how soliton solutions behave. To date, there is much …

Discrete soliton ratchets driven by biharmonic fields

Y Zolotaryuk, M Salerno - Physical Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
Directed motion of topological solitons (kinks or antikinks) in the damped and ac-driven
discrete sine-Gordon system is investigated. We show that if the driving field breaks certain …

Taming chaotic solitons in Frenkel-Kontorova chains by weak periodic excitations

PJ Martínez, R Chacón - Physical review letters, 2004 - APS
We have proposed theoretically and confirmed numerically the possibility of controlling
chaotic solitons in damped, driven Frenkel-Kontorova chains subjected to additive bounded …

Unzipping of DNA under the influence of external fields

AE Bergues-Pupo, JM Bergues, F Falo - Physica A: Statistical Mechanics …, 2014 - Elsevier
We study the features on the unzipping process of a modified version of the Peyrard–Bishop–
Dauxois model. We show that the inclusion of a barrier in the on-site potential allows for the …

Mode-locking of mobile discrete breathers

D Zueco, PJ Martínez, LM Floría, F Falo - Physical Review E—Statistical …, 2005 - APS
We study numerically synchronization phenomena of mobile discrete breathers in
dissipative nonlinear lattices periodically forced. When varying the driving intensity, the …

The alternating-current-driven motion of dislocations in a weakly damped Frenkel-Kontorova lattice

G Filatrella, BA Malomed - Journal of Physics: Condensed Matter, 1999 - iopscience.iop.org
By means of numerical simulations, we demonstrate that an alternating-current (ac) field can
support stably moving collective nonlinear excitations in the form of dislocations (topological …

Bound fluxon pair in one-dimensional SQUID array

M Nishida, T Kanayama, T Nakajo, T Fujii… - Physica C …, 2010 - Elsevier
We propose a one-dimensional array of superconducting quantum interference devices
(SQUIDs) composed of three asymmetrically positioned Josephson junctions to realize a …

Driven dynamics: A photodriven Frenkel-Kontorova model

B Hu, JY Zhu - Physical Review E, 2001 - APS
In this study, we examine the dynamics of a one-dimensional Frenkel-Kontorova chain
consisting of nanosize clusters (the “particles”) and photochromic molecules (the “bonds”) …