Stationary and moving intrinsic localized modes in one-dimensional monatomic lattices with cubic and quartic anharmonicity

1993 ◽  
Vol 47 (21) ◽  
pp. 14206-14211 ◽  
Author(s):  
S. R. Bickham ◽  
S. A. Kiselev ◽  
A. J. Sievers
Keyword(s):  
Localized Modes ◽  
Intrinsic Localized Modes ◽  
One Dimensional ◽  
Quartic Anharmonicity

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.

Manipulation of Intrinsic Localized Modes by Elastic Waves in One Dimensional Anharmonic Lattice Systems

2007 ◽  
Vol 340-341 ◽  
pp. 997-1002 ◽  
Author(s):  
Y. Doi ◽  
Akihiro Nakatani
Keyword(s):  
Elastic Waves ◽  
Discrete Systems ◽  
Localized Modes ◽  
Lattice Systems ◽  
Intrinsic Localized Modes ◽  
One Dimensional ◽  
Anharmonic Lattice ◽  
Discrete Breathers ◽  
The Future ◽  
The One

Manipulation of the intrinsic localized modes (ILMs) or discrete breathers (DBs) in the one dimensional anharmonic lattice systems is investigated. We can make a static ILM into a moving one without any collapses of localized structure by introducing the suitable linear plane into the system. Also we can make a moving ILM into a static one by the same way. Using these procedures, ILM’s position in the system can be controllable. This result indicates the possibilities of applications of ILMs in practical discrete systems in the future.

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