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.
TY - JOUR
AU - Maluckov, Aleksandra
AU - Hadžievski, Ljupčo
AU - Stepić, Milutin
PY - 2006
UR - https://vinar.vin.bg.ac.rs/handle/123456789/6577
AB - 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.
T2 - Physica. D: Nonlinear Phenomena
T1 - Bifurcation analysis of the localized modes dynamics in lattices with saturable nonlinearity
VL - 216
IS - 1
SP - 95
EP - 102
DO - 10.1016/j.physd.2005.12.011
ER -
@article{
author = "Maluckov, Aleksandra and Hadžievski, Ljupčo and Stepić, Milutin",
year = "2006",
abstract = "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.",
journal = "Physica. D: Nonlinear Phenomena",
title = "Bifurcation analysis of the localized modes dynamics in lattices with saturable nonlinearity",
volume = "216",
number = "1",
pages = "95-102",
doi = "10.1016/j.physd.2005.12.011"
}
Maluckov, A., Hadžievski, L.,& Stepić, M.. (2006). Bifurcation analysis of the localized modes dynamics in lattices with saturable nonlinearity. in Physica. D: Nonlinear Phenomena, 216(1), 95-102.
https://doi.org/10.1016/j.physd.2005.12.011
Maluckov A, Hadžievski L, Stepić M. Bifurcation analysis of the localized modes dynamics in lattices with saturable nonlinearity. in Physica. D: Nonlinear Phenomena. 2006;216(1):95-102.
doi:10.1016/j.physd.2005.12.011 .
Maluckov, Aleksandra, Hadžievski, Ljupčo, Stepić, Milutin, "Bifurcation analysis of the localized modes dynamics in lattices with saturable nonlinearity" in Physica. D: Nonlinear Phenomena, 216, no. 1 (2006):95-102,
https://doi.org/10.1016/j.physd.2005.12.011 . .
