TOPOGRAPHY OF ATTRACTORS OF THE PARAMETRICALLY DRIVEN NONLINEAR SCHRODINGER-EQUATION

Authors
BONDILA M BARASHENKOV IV BOGDAN MM
Citation
M. Bondila et al., TOPOGRAPHY OF ATTRACTORS OF THE PARAMETRICALLY DRIVEN NONLINEAR SCHRODINGER-EQUATION, Physica. D, 87(1-4), 1995, pp. 314-320
Citations number
23
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
Physica. D → ACNP
ISSN journal
01672789
Volume
87
Issue
1-4
Year of publication
1995
Pages
314 - 320
Database
ISI
SICI code
0167-2789(1995)87:1-4<314:TOAOTP>2.0.ZU;2-E
Abstract
The parametrically driven, damped NLS equation is numerically simulate d in the neighbourhood of its exact soliton solution. We obtain the at tractor chart on the control parameter plane in the domain of the soli ton instability. Regions of the period-doubling and quasiperiodic tran sitions to chaos are found, and the existence of a critical point wher e the two scenaria meet, is demonstrated.