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

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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 T 2/T 1-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.

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Authors and Affiliations

  1. Kant Baltic Federal University, ul. Nevskogo 14, Kaliningrad, 236041, Russia

    I. S. Proskurkin & V. K. Vanag

Authors
  1. I. S. Proskurkin
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  2. V. K. Vanag
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Correspondence to I. S. Proskurkin.

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Original Russian Text © I.S. Proskurkin, V.K. Vanag, 2015, published in Zhurnal Fizicheskoi Khimii, 2015, Vol. 89, No. 2, pp. 340–344.

The article was translated by the authors.

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Proskurkin, I.S., Vanag, V.K. Dynamical regimes of two frequency different chemical oscillators coupled via pulse inhibitory coupling with time delay. Russ. J. Phys. Chem. 89, 331–335 (2015). https://doi.org/10.1134/S0036024415020223

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