Inhibitory and excitatory pulse coupling of two frequency-different chemical oscillators with time delay

Dynamical regimes of two pulse coupled non-identical Belousov-Zhabotinsky oscillators have been studied experimentally as well as theoretically with the aid of ordinary differential equations and phase response curves both for pure inhibitory and pure excitatory coupling. Time delay tau between a spike in one oscillator and perturbing pulse in the other oscillator plays a significant role for the phase relations of synchronous regimes of the 1: 1 and 1: 2 resonances. Birhythmicity between anti-phase and in-phase oscillations for inhibitory pulse coupling as well as between 1: 2 and 1: 1 resonances for excitatory pulse coupling have also been found. Depending on the ratio of native periods of oscillations T-2/T-1, coupling strength, and time delay tau, such resonances as 1: 1 (with different phase locking), 2: 3, 1: 2, 2: 5, 1: 3, 1: 4, as well as complex oscillations and oscillatory death are observed. (C) 2015 AIP Publishing LLC.