Belousov-Zhabotinskii reaction Field-Noyes model

Hastings, S. P. and Murray, J. D. (1975). "The existence of oscillatory solutions in the Field-Noyes model for the Belousov-Zhabotinskii reaction." SIAM J. Appl. Math. 2Sy 678-688. 

Show that the differential equation (4.9) (the induced kinetic differential equation of the Field-Koros-Noyes mechanism model of the Belousov-Zhabotinskii reaction) does have periodic solutions at certain values of the parameters. 

Rather simple reaction schemes have been proposed as skeletons for the Belousov-Zhabotinskii and related reactions. See (Tyson 1983) for a critical review of them. The most famous is the Oregonator (Field and Noyes 1974), which tracks the changing concentrations of three species HBr02 Br", and Ce ". Although this model has been exceedingly successful in reproducing observed exotic phenomena of various types, alternate three-species skeletons have been proposed as being even more realistic. A recent one was the "explodator" (Noszticzius et al. 1984),... 

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