Collect. Czech. Chem. Commun. 1980, 45, 2135-2142

Bimolecular kinetic scheme with a stable and an unstable limiting cycle of two oscillating components

AntonĂ­n Tockstein and Karel Komers

Department of Physical Chemistry, Institute of Chemical Technology, 530 00 Pardubice


A simple reaction kinetic scheme of two oscillating components was found, whose analog solution shows a stable limit cycle separated from a stable focus by an unstable limit cycle. The scheme leads to trajectories which alternate between the types of limit cycles and stable spirals on changing the rate constants. Modifications of the basic scheme, which consists of five consecutive reactions with two accelerating parallel steps, were studied and its chemical realization was proposed.