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Issue 6, 2019
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Controllable switching between stable modes in a small network of pulse-coupled chemical oscillators

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Abstract

Switching between stable oscillatory modes in a network of four Belousov–Zhabotinsky oscillators coupled in a ring via unidirectional inhibitory pulsatile coupling with a time delay is analysed computationally and experimentally. There are five stable modes in this network: in-phase, anti-phase, walk, walk reverse, and three-cluster modes. Transitions between the modes are carried out by short external pulses applied to one or several oscillators. We consider three types of switching between the modes: (i) forced switching, when the phases of oscillators of an initial mode reset in such a way that they correspond to the phases of the final mode; internal pulses of the network play no role in this resetting; (ii) “specific” switching, when the phase of only one oscillator is changed by an external perturbation which induces a chain of phase changes in other oscillators due to internal coupling between oscillators; and (iii) multistep switching through intermediate modes, which can be either stable or unstable attractors. All these types of switching have been found in simulations and verified in laboratory experiments.

Graphical abstract: Controllable switching between stable modes in a small network of pulse-coupled chemical oscillators

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Supplementary files

Article information


Submitted
30 Nov 2018
Accepted
10 Jan 2019
First published
11 Jan 2019

Phys. Chem. Chem. Phys., 2019,21, 3033-3043
Article type
Paper

Controllable switching between stable modes in a small network of pulse-coupled chemical oscillators

P. S. Smelov, I. S. Proskurkin and V. K. Vanag, Phys. Chem. Chem. Phys., 2019, 21, 3033
DOI: 10.1039/C8CP07374K

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