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Analysis of a model scheme incorporating reactant inhibition: Instability of homogeneous solution and formation of spatio–temporal structures
Author(s) -
Rajani P.,
Bandyopadhyay J. K.,
Inamdar S. R.,
Kulkarni B. D.
Publication year - 1993
Publication title -
international journal of chemical kinetics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.341
H-Index - 68
eISSN - 1097-4601
pISSN - 0538-8066
DOI - 10.1002/kin.550250702
Subject(s) - instability , homogeneous , parameter space , chemistry , statistical physics , turing , space (punctuation) , pattern formation , phase space , multiplicity (mathematics) , thermodynamics , mechanics , mathematical analysis , physics , mathematics , geometry , computer science , programming language , operating system , biology , genetics
A model scheme incorporating reactant inhibition in the rate process has been analyzed with a view to study the instability of homogeneous solution due to diffusion. Conditions for the occurrence of Turing as well as phase instability are derived and show the existence of multiplicity in the parameter space. The Ginzburg‐Landau equation for the system is developed and solved numerically in various regions of the parameter space. The simple model system shows the existence of very rich behavior including normal and inverted bifurcations in the super and subcritical regimes. The various results are analyzed and discussed. © 1993 John Wiley & Sons, Inc.