Standard

Inhibitory and excitatory pulse coupling of two frequency-different chemical oscillators with time delay. / Proskurkin, Ivan S.; Lavrova, Anastasia I.; Vanag, Vladimir K.

в: Chaos, Том 25, № 6, 064601, 01.01.2015.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

Harvard

APA

Vancouver

Author

BibTeX

@article{21e8a0d4719c4c3982110f881ba20419,
title = "Inhibitory and excitatory pulse coupling of two frequency-different chemical oscillators with time delay",
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.",
author = "Proskurkin, {Ivan S.} and Lavrova, {Anastasia I.} and Vanag, {Vladimir K.}",
year = "2015",
month = jan,
day = "1",
doi = "10.1063/1.4921168",
language = "English",
volume = "25",
journal = "Chaos",
issn = "1054-1500",
publisher = "American Institute of Physics",
number = "6",

}

RIS

TY - JOUR

T1 - Inhibitory and excitatory pulse coupling of two frequency-different chemical oscillators with time delay

AU - Proskurkin, Ivan S.

AU - Lavrova, Anastasia I.

AU - Vanag, Vladimir K.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84930226969&partnerID=8YFLogxK

U2 - 10.1063/1.4921168

DO - 10.1063/1.4921168

M3 - Article

C2 - 26117126

AN - SCOPUS:84930226969

VL - 25

JO - Chaos

JF - Chaos

SN - 1054-1500

IS - 6

M1 - 064601

ER -

ID: 27612329