Standing waves in a complex Ginzburg-Landau equation with time-delay  feedback

Standing waves are studied as solutions of a complex Ginsburg-Landau equation subjected to local and global time-delay feedback terms. The onset of standing waves is studied at the instability of the homogeneous periodic solution with respect to spatially periodic perturbations. The solution of this spatiotemporal wave pattern is given and is compared to the homogeneous periodic solution.

Metadaten
Author details:	Michael Stich, Carsten Beta ORCiD GND
ISSN:	1078-0947
ISSN:	1553-5231
Title of parent work (English):	Discrete and continuous dynamical systems : a journal bridging mathematics and sciences
Publisher:	American Institute of Mathematical Sciences
Place of publishing:	Springfield
Publication type:	Article
Language:	English
Year of first publication:	2011
Publication year:	2011
Release date:	2017/03/26
Tag:	control; pattern formation; reaction-diffusion system
Issue:	1
Number of pages:	6
First page:	1329
Last Page:	1334
Funding institution:	INTA; Spanish MICIIN [FIS2008-05273]; Comunidad Autonoma de Madrid, project MODELICO [S2009/ESP-1691]; Research Networking Programme Junctional Dynamics in Complex Chemical and Biological Systems" (FUNCDYN) of the European Science Foundation
Organizational units:	Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer review:	Referiert