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Degenerate Hopf instability in oscillatory reaction-diffusion equations

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  • Degenerate critical points on a 2-compnent reaction diffusion system with a global inhibition (GI) are studied. They can be an organizing center for a variety of spatially non-uniform oscillations. The Hopf-bifurcation point for the 0-mode oscillation (spatially uniform oscillation) is controlled by the strength of GI so that the eairlier destabilization of the higher mode oscillations can happen.
    Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.


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