Multiple time scale based reduction scheme for nonlinear chemical dynamics
Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India
Revised: 3 May 2013
Published online: 11 July 2013
A chemical reaction is often characterized by multiple time scales governing the kinetics of reactants, products and intermediates. We eliminate the fast relaxing intermediates in autocatalytic reaction by transforming the original system into a new one in which the linearized part is diagonal. This allows us to reduce the dynamical system by identifying the associated time scales and subsequent adiabatic elimination of the fast modes. It has been shown that the reduced system sustains the robust qualitative signatures of the original system and at times the generic form of the return map for the chaotic system from which complex dynamics stems out in the original system can be identified. We illustrate the scheme for a three-variable cubic autocatalytic reaction and four-variable peroxidase-oxidase reaction.
© EDP Sciences, Springer-Verlag, 2013