Twisted localized modes - art. no. 036603

Citation
Pg. Kevrekidis et al., Twisted localized modes - art. no. 036603, PHYS REV E, 6303(3), 2001, pp. 6603
Citations number
32
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW E
ISSN journal
1063651X → ACNP
Volume
6303
Issue
3
Year of publication
2001
Part
2
Database
ISI
SICI code
1063-651X(200103)6303:3<6603:TLM-AN>2.0.ZU;2-S
Abstract
In a number of recent papers the so-called twisted localized mode of the di screte nonlinear Schrodinger equation has been proposed. Herein, we study t he existence and stability properties of such modes. We analyze the persist ence of quasiperiodic modes and study the domains of existence and numerica l stability of the exact form of such solutions. We identify the bifurcatio ns through which they lose their stability and follow the behavior of the i ntrinsic localized modes and their eigenmodes even in the unstable regime.