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

Ivan S. Proskurkin, Anastasia I. Lavrova, Vladimir K. Vanag

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

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 τ 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 T2/T1, coupling strength, and time delay τ, 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.

Original languageEnglish
Article number064601
JournalChaos
Volume25
Issue number6
DOIs
StatePublished - 1 Jan 2015
Externally publishedYes

Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)
  • Applied Mathematics

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