Document Detail


Instability and pattern formation in reaction-diffusion systems: a higher order analysis.
MedLine Citation:
PMID:  17705608     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
We analyze the condition for instability and pattern formation in reaction-diffusion systems beyond the usual linear regime. The approach is based on taking into account perturbations of higher orders. Our analysis reveals that nonlinearity present in the system can be instrumental in determining the stability of a system, even to the extent of destabilizing one in a linearly stable parameter regime. The analysis is also successful to account for the observed effect of additive noise in modifying the instability threshold of a system. The analytical study is corroborated by numerical simulation in a standard reaction-diffusion system.
Authors:
Syed Shahed Riaz; Rahul Sharma; S P Bhattacharyya; D S Ray
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  The Journal of chemical physics     Volume:  127     ISSN:  0021-9606     ISO Abbreviation:  J Chem Phys     Publication Date:  2007 Aug 
Date Detail:
Created Date:  2007-08-20     Completed Date:  2007-10-09     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0375360     Medline TA:  J Chem Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  064503     Citation Subset:  -    
Affiliation:
Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India.
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