Non-Linear Bifurcation Analysis of Reaction-Diffusion Activator-Inhibator System |
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| Authors: | Sandip Banerjee CG Chakrabarti |
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| Institution: | (1) Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Calcutta –, 700009, India |
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| Abstract: | The paper first deals with the linear stability analysis of an activator-inhibitor reaction diffusion system to determine the nature of the bifurcation point of the system. The non-linear bifurcation analysis determining the steady state solution beyond the critical point enables us to determine characteristic features of the spatial inhomogeneous pattern formation arising out of the bifurcation of the state of the system. |
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| Keywords: | Bifurcation Analysis Critical point Dissipative structure Reaction-diffusion Activator-inhibitor |
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