Boundary effects in the complex Ginzburg-Landau equation

Authors
Eguiluz, VM Hernandez-Garcia, E Piro, O
Citation
Vm. Eguiluz et al., Boundary effects in the complex Ginzburg-Landau equation, INT J B CH, 9(11), 1999, pp. 2209-2214
Citations number
11
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
9
Issue
11
Year of publication
1999
Pages
2209 - 2214
Database
ISI
SICI code
0218-1274(199911)9:11<2209:BEITCG>2.0.ZU;2-M
Abstract
The effect of a finite geometry on the two-dimensional complex Ginzburg-Lan dau equation is addressed. Boundary effects induce the formation of novel s tates. For example, target-like solutions appear as robust solutions under Dirichlet boundary conditions. Synchronization of plane waves emitted by bo undaries, entrainment by corner emission, and anchoring of defects by shock lines are also reported.