title: Periodic perturbation of one of two identical chemical oscillators coupled via inhibition.
abstract: We study perturbation with period T(p) of one of two model Belousov-Zhabotinsky chemical oscillators diffusively coupled through an inhibitory species. We find a variety of resonance regimes, characterized as N1:N2:n , where N1 (N2) and n are the numbers of spikes of the perturbed (unperturbed) oscillator and the external perturbation, respectively, per global period T(G). The resonance mode is determined primarily by the ratios T(p)/T0 and T(p)/T(C), where T0 and T(C) are the periods of a single oscillator and of two coupled antiphase oscillators, respectively (T(C)≅2T0 at large coupling strength). The period of the perturbed oscillator can be tuned over a wide range (from T0 to >10T0) by varying T(p) between T(C) and T0.
authors.affiliation: Department of Chemistry, Brandeis University, Waltham, Massachusetts 02454, USA.
authors.forename: Vladimir K
authors.initials: VK
authors.lastname: Vanag
authors.forename: Irving R
authors.initials: IR
authors.lastname: Epstein