title: Rayleigh-type parametric chemical oscillation.
abstract: We consider a nonlinear chemical dynamical system of two phase space variables in a stable steady state. When the system is driven by a time-dependent sinusoidal forcing of a suitable scaling parameter at a frequency twice the output frequency and the strength of perturbation exceeds a threshold, the system undergoes sustained Rayleigh-type periodic oscillation, wellknown for parametric oscillation in pipe organs and distinct from the usual forced quasiperiodic oscillation of a damped nonlinear system where the system is oscillatory even in absence of any external forcing. Our theoretical analysis of the parametric chemical oscillation is corroborated by full numerical simulation of two well known models of chemical dynamics, chlorite-iodine-malonic acid and iodine-clock reactions.
authors.affiliation: Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India.
authors.forename: Shyamolina
authors.initials: S
authors.lastname: Ghosh
authors.affiliation: Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India.
authors.forename: Deb Shankar
authors.initials: DS
authors.lastname: Ray