Computer simulation of intrinsic localized modes in one-dimensional and two-dimensional anharmonic lattices

1990 ◽  
Vol 42 (8) ◽  
pp. 4921-4927 ◽  
Author(s):  
V. M. Burlakov ◽  
S. A. Kiselev ◽  
V. N. Pyrkov
Keyword(s):  
Computer Simulation ◽  
Two Dimensional ◽  
Localized Modes ◽  
Intrinsic Localized Modes ◽  
One Dimensional

Intrinsic localized modes in two-dimensional vibrations of crystalline pillars and their application for sensing

2012 ◽  
Vol 112 (10) ◽  
pp. 104326 ◽  
Author(s):  
Daniel Brake ◽  
Huiwen Xu ◽  
Andrew Hollowell ◽  
Ganesh Balakrishnan ◽  
Chris Hains ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Localized Modes ◽  
Intrinsic Localized Modes

Surface and gap intrinsic localized modes in one-dimensional lattices

2002 ◽  
Vol 502-503 ◽  
pp. 458-462 ◽  
Author(s):  
A. Franchini ◽  
V. Bortolani ◽  
R.F. Wallis
Keyword(s):  
Localized Modes ◽  
Intrinsic Localized Modes ◽  
One Dimensional

GAP SOLITONS, RESONANT KINKS, AND INTRINSIC LOCALIZED MODES IN PARAMETRICALLY EXCITED DIATOMIC LATTICES

1996 ◽  
Vol 06 (10) ◽  
pp. 1775-1787 ◽  
Author(s):  
GUOXIANG HUANG ◽  
SEN-YUE LOU ◽  
MANUEL G. VELARDE
Keyword(s):  
Lattice System ◽  
Vertical Oscillation ◽  
Carrier Wave ◽  
Localized Modes ◽  
Resonant Frequencies ◽  
Intrinsic Localized Modes ◽  
One Dimensional ◽  
Nonlinear Excitations ◽  
Gap Solitons ◽  
Small Periodic

The dynamics of localized nonlinear excitations of resonant frequencies ωj (j = 0, 1, 2, 3) and carrier wave frequency frequency ωe≈ωj in a damping and parametrically driven lattice system is considered. The excitations are created in a one-dimensional nonlinearly coupled diatomic pendulum lattice which is subjected to a vertical oscillation of frequency 2ωe. The recent experimental observation of gap solitons, resonant kinks, and intrinsic localized modes in the diatomic pendulum lattice system are explained by using an extended nonlinear Schrödinger theory after neglecting the nonuniformity of the pendulums and the small periodic modulations of the amplitudes of the excitations.

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