IJIRST (International Journal for Innovative Research in Science & Technology)ISSN (online) : 2349-6010

 International Journal for Innovative Research in Science & Technology

HOPF BIFURCATION IN A CHEMICAL MODEL


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International Journal for Innovative Research in Science & Technology
Volume 1 Issue - 9
Year of Publication : 2015
Authors : Hemanta Kr. Sarmah. ; Mridul Chandra Das.; Tapan Kr. Baishya

BibTeX:

@article{IJIRSTV1I9007,
     title={HOPF BIFURCATION IN A CHEMICAL MODEL},
     author={Hemanta Kr. Sarmah., Mridul Chandra Das. and Tapan Kr. Baishya},
     journal={International Journal for Innovative Research in Science & Technology},
     volume={1},
     number={9},
     pages={23--33},
     year={},
     url={http://www.ijirst.org/articles/IJIRSTV1I9007.pdf},
     publisher={IJIRST (International Journal for Innovative Research in Science & Technology)},
}

Abstract:

In this paper we have investigated the stability nature of Hopf bifurcation in a two dimensional nonlinear differential equation, popularly known as the Brusselator model. The Brusselator model exhibits supercritical Hopf bifurcation for certain parameter values which marks the stability of limit cycles created in Hopf bifurcations. We have used the Center manifold theorem and the technique of Normal forms in our investigation.

Keywords:

Hopf Bifurcation, Supercritical Hopf Bifurcation, Subcritical Hopf Bifurcation, Centre Manifold, Normal Form
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