期刊
PHYSICAL CHEMISTRY CHEMICAL PHYSICS
卷 18, 期 7, 页码 5509-5520出版社
ROYAL SOC CHEMISTRY
DOI: 10.1039/c5cp06883e
关键词
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资金
- RFBR [15-07-01726a, 15-32-50243]
- Development Program of the Immanuel Kant Baltic Federal University [L-2015-66842]
The dynamic regimes in networks of four almost identical spike oscillators with pulsatile coupling via inhibitor are systematically studied. We used two models to describe individual oscillators: a phase-oscillator model and a model for the Belousov-Zhabotinsky reaction. A time delay tau between a spike in one oscillator and the spike-induced inhibitory perturbation of other oscillators is introduced. Diagrams of all rhythms found for three different types of connectivities (unidirectional on a ring, mutual on a ring, and all-to-all) are built in the plane C-inh-tau, where C-inh is the coupling strength. It is shown analytically and numerically that only four regular rhythms are stable for unidirectional coupling: walk (phase shift between spikes of neighbouring oscillators equals the quarter of the global period T), walk-reverse (the same as walk but consecutive spikes take place in the direction opposite to the direction of connectivity), anti-phase (any two neighbouring oscillators are anti-phase), and in-phase oscillations. In the case of mutual on the ring coupling, an additional in-phase-anti-phase mode emerges. For all-to-all coupling, two new asymmetrical patterns (two-cluster and three-cluster modes) have been found. More complex rhythms are observed at large Cinh, when some oscillators are suppressed completely or generate smaller number of spikes than others.
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