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PredicateObject
rdf:type
lifeskim:mentions
pubmed:issue
6
pubmed:dateCreated
2007-8-20
pubmed:abstractText
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.
pubmed:language
eng
pubmed:journal
pubmed:status
PubMed-not-MEDLINE
pubmed:month
Aug
pubmed:issn
0021-9606
pubmed:author
pubmed:issnType
Print
pubmed:day
14
pubmed:volume
127
pubmed:owner
NLM
pubmed:authorsComplete
Y
pubmed:pagination
064503
pubmed:year
2007
pubmed:articleTitle
Instability and pattern formation in reaction-diffusion systems: a higher order analysis.
pubmed:affiliation
Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India.
pubmed:publicationType
Journal Article