Periodic, Quasiperiodic and Chaotic Discrete Breathers in a Parametrical Driven Two-Dimensional Discrete Klein-Gordon Lattice

2009 ◽  
Vol 26 (4) ◽  
pp. 040501 ◽  
Author(s):  
Xu Quan ◽  
Tian Qiang
Keyword(s):  
Two Dimensional ◽  
Discrete Breathers ◽  
Klein Gordon

Moving discrete breathers in a monoatomic two-dimensional crystal

JETP Letters ◽  
2014 ◽  
Vol 99 (6) ◽  
pp. 353-357 ◽  
Author(s):  
A. A. Kistanov ◽  
R. T. Murzaev ◽  
S. V. Dmitriev ◽  
V. I. Dubinko ◽  
V. V. Khizhnyakov
Keyword(s):  
Two Dimensional ◽  
Discrete Breathers ◽  
Dimensional Crystal

scholarly journals MULTIBREATHER AND VORTEX BREATHER STABILITY IN KLEIN–GORDON LATTICES: EQUIVALENCE BETWEEN TWO DIFFERENT APPROACHES

2011 ◽  
Vol 21 (08) ◽  
pp. 2161-2177 ◽  
Author(s):  
J. CUEVAS ◽  
V. KOUKOULOYANNIS ◽  
P. G. KEVREKIDIS ◽  
J. F. R. ARCHILLA
Keyword(s):  
Coupled Oscillators ◽  
Hamiltonian Method ◽  
Band Theory ◽  
Floquet Multipliers ◽  
One Dimensional ◽  
Case Examples ◽  
Discrete Breathers ◽  
Klein Gordon ◽  
Band Method ◽  
Time Periodic

In this work, we revisit the question of stability of multibreather configurations, i.e. discrete breathers with multiple excited sites at the anti-continuum limit of uncoupled oscillators. We present two methods that yield quantitative predictions about the Floquet multipliers of the linear stability analysis around such exponentially localized in space, time-periodic orbits, based on the Aubry band method and the MacKay effective Hamiltonian method, and prove that by making the suitable assumptions about the form of the bands in the Aubry band theory, their conclusions are equivalent. Subsequently, we showcase the usefulness of the methods through a series of case examples including one-dimensional multi-breathers, and two-dimensional vortex breathers in the case of a lattice of linearly coupled oscillators with the Morse potential and in that of the discrete ϕ4 model.

Spin discrete breathers in two-dimensional square anisotropic ferromagnets

2014 ◽  
Vol 89 (9) ◽  
pp. 095208 ◽  
Author(s):  
Bing Tang ◽  
De-Jun Li ◽  
Yi Tang
Keyword(s):  
Two Dimensional ◽  
Discrete Breathers

scholarly journals Moving discrete breathers in a Klein Gordon chain with an impurity

2002 ◽  
Vol 35 (49) ◽  
pp. 10519-10530 ◽  
Author(s):  
J Cuevas ◽  
F Palmero ◽  
J F R Archilla ◽  
F R Romero
Keyword(s):  
Discrete Breathers ◽  
Klein Gordon

Two-dimensional discrete breathers: Construction, stability, and bifurcations

2000 ◽  
Vol 61 (2) ◽  
pp. 2006-2009 ◽  
Author(s):  
P. G. Kevrekidis ◽  
K. Ø. Rasmussen ◽  
A. R. Bishop
Keyword(s):  
Two Dimensional ◽  
Discrete Breathers ◽  
Stability And Bifurcations
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