Wave patterns formation in one-dimensional networks of coupled neuron-like oscillators

Conference: NDES 2012 - Nonlinear Dynamics of Electronic Systems
07/11/2012 - 07/13/2012 at Wolfenbüttel, Germany

Proceedings: NDES 2012

Pages: 4Language: englishTyp: PDF

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Dmitry, Shchapin; Dmitrichev, Alexey; Nekorkin, Vladimir (Institute of Applied Physics of the Russian Academy of Science, 46 Ul’yanov Street, 603950, Nizhny Novgorod, Russia)

Dynamics of two types of one-dimensional networks of electrically coupled neuron-like oscillators implemented using analog electronic circuits are investigated. The networks mimic interacting excitable or bistable neurons which are coupled via gap junctions. The first network is composed of FitzHugh-Nagumo oscillators and the second one is composed of modified FitzHugh-Nagumo oscillators with additional conductance. It is forecasted theoretically and shown experimentally that in both types of networks there exist a variety of different propagating waves: fonts (kink and antikink), excitation pulses, periodic waves and solitary bound states. The fronts and pulses can annihilate or demonstrate particles-like behavior during the interaction with each other and borders of networks. It is shown that particle-like behavior can lead to formation of complex periodic spatiotemporal wave patterns. Besides the periodic patterns in modified FitzHugh-Nagumo network there exist chaotic fractal-like spatiotemporal patterns. It is demonstrated theoretically that emergence of complex patterns can be associated with the existence of a heteroclinic and/or gomoclinic contours in the phase space of corresponding traveling wave systems.