title: Chemical oscillator as a generalized Rayleigh oscillator.
abstract: We derive the conditions under which a set of arbitrary two dimensional autonomous kinetic equations can be reduced to the form of a generalized Rayleigh oscillator which admits of limit cycle solution. This is based on a linear transformation of field variables which can be found by inspection of the kinetic equations. We illustrate the scheme with the help of several chemical and bio-chemical oscillator models to show how they can be cast as a generalized Rayleigh oscillator.
authors.affiliation: Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700032, India.
authors.forename: Shyamolina
authors.initials: S
authors.lastname: Ghosh
authors.forename: Deb Shankar
authors.initials: DS
authors.lastname: Ray