Ordered and self-disordered dynamics of holes and defects in the one-dimensional complex Ginzburg-Landau equation

Citation
M. Van Hecke et M. Howard, Ordered and self-disordered dynamics of holes and defects in the one-dimensional complex Ginzburg-Landau equation, PHYS REV L, 86(10), 2001, pp. 2018-2021
Citations number
21
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
86
Issue
10
Year of publication
2001
Pages
2018 - 2021
Database
ISI
SICI code
0031-9007(20010305)86:10<2018:OASDOH>2.0.ZU;2-9
Abstract
We study the dynamics of holes and defects in the 1D complex Ginzburg-Landa u equation in ordered and chaotic cases. Ordered hole-defect dynamics occur s when an unstable hole invades a plane wave state and periodically nucleat es defects from which new holes are born. The results: of a detailed numeri cal study of these periodic states are incorporated into a simple analytic description of isolated "edge" holes. Extending this description, we obtain a minimal model for general hole-defect dynamics. We show that interaction s between the holes and a self-disordered background are essential fur the occurrence of spatiotemporal chaos in hole-defect states.