Bifurcation analysis of the localized modes dynamics in lattices with saturable nonlinearity
Само за регистроване кориснике
2006
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
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.
Кључне речи:
cascade saturation / bifurcation trapped-moving localized mode / Peierls-Nabarro potentialИзвор:
Physica. D: Nonlinear Phenomena, 2006, 216, 1, 95-102Напомена:
- Conference on Nonlinear Physics - Condensed Matter, Dynamical Systems and Biophysics, May 30-31, 2005, Inst Henri Poincare, Paris, France
DOI: 10.1016/j.physd.2005.12.011
ISSN: 0167-2789
WoS: 000237545000009
Scopus: 2-s2.0-33748259818
Колекције
Институција/група
VinčaTY - 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 . .