Document Detail


Forced patterns near a Turing-Hopf bifurcation.
MedLine Citation:
PMID:  20365644     Owner:  NLM     Status:  MEDLINE    
Abstract/OtherAbstract:
We study time-periodic forcing of spatially extended patterns near a Turing-Hopf bifurcation point. A symmetry-based normal form analysis yields several predictions, including that (i) weak forcing near the intrinsic Hopf frequency enhances or suppresses the Turing amplitude by an amount that scales quadratically with the forcing strength, and (ii) the strongest effect is seen for forcing that is detuned from the Hopf frequency. To apply our results to specific models, we perform a perturbation analysis on general two-component reaction-diffusion systems, which reveals whether the forcing suppresses or enhances the spatial pattern. For the suppressing case, our results are consistent with features of previous experiments on the chlorine dioxide-iodine-malonic acid chemical reaction. However, we also find examples of the enhancing case, which has not yet been observed in experiment. Numerical simulations verify the predicted dependence on the forcing parameters.
Authors:
Chad M Topaz; Anne J Catll?
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Publication Detail:
Type:  Journal Article; Research Support, U.S. Gov't, Non-P.H.S.     Date:  2010-02-26
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  81     ISSN:  1550-2376     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2010 Feb 
Date Detail:
Created Date:  2010-04-06     Completed Date:  2010-06-28     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  026213     Citation Subset:  IM    
Affiliation:
Department of Mathematics, Statistics, and Computer Science, Macalester College, St. Paul, Minnesota 55105, USA.
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MeSH Terms
Descriptor/Qualifier:
Models, Theoretical*
Time Factors

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine


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