Abstract

Abstract Computer simulations and a theoretical analysis of the Oregonator model of the Belousov-Zhabotinskii reaction are made based on Tyson’s equation. The behavior of the amplitudes of the unstable limit cycle near the transition point, pc, can be explained theoretically fairly well by the Landau theory. The global behavior of one stable limit cycle and one unstable limit cycle is examined by means of simulations. The existence of a triple point at which three different global states coexist has been suggested.

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