| Issue |
ESAIM: Proc.
Volume 39, March 2013
Conference on Structural Nonlinear Dynamics and Diagnosis – CSNDD 2012
|
|
|---|---|---|
| Page(s) | 49 - 56 | |
| DOI | https://doi.org/10.1051/proc/201339007 | |
| Published online | 14 May 2013 | |
Destabilization of Localized Structures in Reaction-Diffusion Systems Induced by Delayed Feedback
Institut for Theoretical Physics,
University of Münster,
Wilhelm-Klemm-Str. 9,
48149
Münster,
Germany
We are interested in the stability of two-dimensional localized structures in reaction-diffusion systems subjected to a delayed feedback. We show that the presence of the delay can induce complex behavior of the localized structures, including, e.g., spontaneous motion or breathing of the localized objects. In the case of spontaneous motion, the corresponding order parameter equation for the position of the localized structure is derived. In addition, numerical simulations are carried out showing good agreement with the analytical predictions.
E-mail: gurevics@uni-muenster.de
© EDP Sciences, SMAI 2013
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