Bifurcation analysis of the localized modes dynamics in lattices with saturable nonlinearity
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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.
Keywords:cascade saturation / bifurcation trapped-moving localized mode / Peierls-Nabarro potential
Source:Physica. D: Nonlinear Phenomena, 2006, 216, 1, 95-102
- Conference on Nonlinear Physics - Condensed Matter, Dynamical Systems and Biophysics, May 30-31, 2005, Inst Henri Poincare, Paris, France