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A nonlinear two-species oscillatory system: bifurcation and stability analysis. (English) Zbl 1018.37029
Summary: 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.

MSC:
37G15 Bifurcations of limit cycles and periodic orbits in dynamical systems
37N99 Applications of dynamical systems
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