ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Mikhaylov A. O., Komarov M. A., Osipov G. V. Sequential switching activity in the ensemble of nonidentical poincare systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 5, pp. 79-91. DOI: 10.18500/0869-6632-2013-21-5-79-91

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Sequential switching activity in the ensemble of nonidentical poincare systems

Mikhaylov Aleksej Olegovich, Lobachevsky State University of Nizhny Novgorod
Komarov Maksim Andreevich, Lobachevsky State University of Nizhny Novgorod
Osipov Grigorij Vladimirovich, Lobachevsky State University of Nizhny Novgorod

Switching activity in the ensemble of inhibitory coupled Poicare systems is considered. The existence of heteroclinic contour in the phase space at the certain domain of parameter space has shown. Dynamics of the ensemble of non-identical inhibitory and diffusively coupled systems of Poincare is considered. The approximate bifurcation diagrams for all qualitatively different regimes of the network activity have shown. There are areas of the parameter space corresponding to different dynamic regimes, such as multistability, extinction, modulation, bursting and synchronization.

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