Inhibitory and excitatory pulse coupling of two frequency-different chemical oscillators with time delay. / Proskurkin, Ivan S.; Lavrova, Anastasia I.; Vanag, Vladimir K.
In: Chaos, Vol. 25, No. 6, 064601, 01.01.2015.Research output: Contribution to journal › Article › peer-review
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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