A nonlinear two-species oscillatory system: bifurcation and stability analysis

Bandyopadhyay, Malay; Bhattacharya, Rakhi; Chakrabarti, C. G.

doi:https://doi.org/10.1155/S0161171203201174

International Journal of Mathematics and Mathematical Sciences

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Volume 2003 | Article ID 617217 | https://doi.org/10.1155/S0161171203201174

A nonlinear two-species oscillatory system: bifurcation and stability analysis

Malay Bandyopadhyay,¹Rakhi Bhattacharya,¹and C. G. Chakrabarti¹

Received20 Jan 2002

Abstract

The present paper dealing with the nonlinear bifurcation analysis of two-species oscillatory system consists of three parts. The first part deals with Hopf-bifurcation and limit cycle analysis of the homogeneous system. The second consists of travelling wave train solution and its linear stability analysis of the system in presence of diffusion. The last deals with an oscillatory chemical system as an illustrative example.

Copyright

Copyright © 2003 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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