On the forced catalytic oscillator

摘要

Catalytic oscillators are usually characterized by dynamic variables that cannot be perturbed directly, by wide separation of time scales and by either soft or hard bifurcation to periodicity. Analysis of a simple relaxation oscillator subject to a squarehyphen;wave variation in a parameter reveals a structure similar to that known for the circle map. Qualitative analysis of periodic forcing around a hardhyphen;bifurcation boundary is also presented. These results are compared with motions obtained by a periodic change in the composition of the environment surrounding a Pt wire catalyzing NH3oxidation. The unperturbed system exhibits the three features described above. Harmonic quasiperiods and narrow subharmonic bands are mapped in the forced system.