| Instability and pattern formation in reaction-diffusion systems: a higher order analysis. | |
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MedLine Citation:
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PMID: 17705608 Owner: NLM Status: PubMed-not-MEDLINE |
Abstract/OtherAbstract:
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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. |
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Authors:
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Syed Shahed Riaz; Rahul Sharma; S P Bhattacharyya; D S Ray |
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Publication Detail:
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Type: Journal Article |
Journal Detail:
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Title: The Journal of chemical physics Volume: 127 ISSN: 0021-9606 ISO Abbreviation: J Chem Phys Publication Date: 2007 Aug |
Date Detail:
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Created Date: 2007-08-20 Completed Date: 2007-10-09 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 0375360 Medline TA: J Chem Phys Country: United States |
Other Details:
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Languages: eng Pagination: 064503 Citation Subset: - |
Affiliation:
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Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India. |
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