On the existence of oscillating chemical reactions
In: Bulletin de la Classe des sciences, Band 45, Heft 1, S. 116-129
The possibility of oscillating chemical reactions is discussed, and it is shown that in systems where only first order reactions occur oscillations around equilibrium states or stationary states are not possible. For systems described by non-linear differential equations, on the other hand, it is known that oscillations around stationary states can occur, since the equations of Volterra can be interpreted as describing a set of chemical reactions. The necessary and sufficient conditions for the occurrence of oscillations in a chemical system is derived as inequalities among the rate constants, using the criterion of Sturm. It is pointed out that none of the chemical reactions alleged to show oscillatory behaviour have been thoroughly investigated experimentally.