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

Malay Bandyopadhyay; Rakhi Bhattacharya; C G Chakrabarti

doi:10.1155/s0161171203201174

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

作者：Malay Bandyopadhyay; Rakhi Bhattacharya; C G Chakrabarti

来源：International Journal of Mathematics and Mathematical Sciences, 2003.

DOI：10.1155/s0161171203201174

摘要

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.