Bifurcation analysis of the localized modes dynamics in lattices with saturable nonlinearity

被引：21
作者：
Maluckov, A.
Hadzievski, Lj.
Stepic, M.
机构：
[1] Fac Sci & Math, Dept Phys, Nish 18001, Serbia Monteneg
[2] Vinca Inst Nucl Sci, Belgrade 110001, Serbia Monteneg
[3] Clausthal Univ Technol, Inst Phys & Phys Technol, D-38678 Clausthal Zellerfeld, Germany
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2006年 / 216卷 / 01期
关键词：
cascade saturation; bifurcation trapped-moving localized mode; Peierls-Nabarro potential;
D O I：
10.1016/j.physd.2005.12.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The dynamics of localized modes in discrete media with saturable nonlinearity are investigated. The stability of stationary bright solitons is discussed from the view point of the energy minimum principle and mapping analysis. Due to the cascade saturation mechanism, a bifurcation from trapped to transversely moving localized mode is found for particular values of high power. The bifurcation coincides with the existence of the (almost) perfect separatrix in the corresponding area-preserving map. In addition, the definition of the Peierls-Nabarro effective potential is reconsidered. (c) 2006 Elsevier B.V. All rights reserved.
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页码：95 / 102
页数：8
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