LOCALIZATION OF CHAOS IN THE DISCRETE NONLINEAR SCHRODINGER-EQUATION

Authors
FINLAYSON N BLOW KJ BERNSTEIN LJ DELONG KW
Citation
N. Finlayson et al., LOCALIZATION OF CHAOS IN THE DISCRETE NONLINEAR SCHRODINGER-EQUATION, Physical review. A, 48(5), 1993, pp. 3863-3869
Citations number
13
Categorie Soggetti
Physics
Journal title
Physical review. A → ACNP
ISSN journal
10502947
Volume
48
Issue
5
Year of publication
1993
Pages
3863 - 3869
Database
ISI
SICI code
1050-2947(1993)48:5<3863:LOCITD>2.0.ZU;2-B
Abstract
We partition the perturbation phase space in the three-element discret e nonlinear Schrodinger equation into symmetric and antisymmetric subs paces. We then show that chaotic motion in the neighborhood of symmetr ic trajectories is confined to the antisymmetric space. Chaos occurs i n the system at arbitrarily low levels of nonlinearity, in agreement w ith previous calculations. We call this phenomenon ''microchaos.''