Dynamical regimes of two frequency different chemical oscillators coupled via pulse inhibitory coupling with time delay

Abstract

Resonance regimes of two frequency different chemical oscillators coupled via pulsed inhibitory coupling with time delay τ have been studied theoretically and experimentally. The Belousov-Zhabotinsky reaction is used as a chemical oscillator. Regions of the 1: 1, 2: 3, 1: 2, 2: 5, and 1: 3 resonances, as well as complex oscillations and a regime in which one oscillator is suppressed have been found in the parameter plane “the ratio between the T2/T1-τ.” For the 1: 2 resonance, a sharp transition from one synchronized regime (called “0/0.5”) to the other one (called “0.2/0.7”) has been found. This transition (reminiscent to the transition between in-phase and anti-phase oscillations in case of the 1: 1 resonance) is controlled by time delay τ and the coupling strength.