Spiking dynamics of interacting oscillatory neurons

V. B. Kasantsev (1) , V. Nekorkin (1) , S. Binczak (2) , S. Jacquir (2) , J. M. Bilbault (2)

1 Institute of Applied Physics of RAS
2 Le2i - Laboratoire Electronique, Informatique et Image [UMR6306]

Spiking sequences emerging from dynamical interaction in a pair of oscillatory neurons are investigated theoretically and experimentally. The model comprises two unidirectionally coupled FitzHugh-Nagumo units with modified excitability (MFHN). The first (master) unit exhibits a periodic spike sequence with a certain frequency. The second (slave) unit is in its excitable mode and responds on the input signal with a complex (chaotic) spike trains. We analyze the dynamic mechanisms underlying different response behavior depending on interaction strength. Spiking phase maps describing the response dynamics are obtained. Complex phase locking and chaotic sequences are investigated. We show how the response spike trains can be effectively controlled by the interaction parameter and discuss the problem of neuronal information encoding.

Mots clés: Complex phase locking; Ocillatory neurons; Chaotic dynamics; Neuronal information encoding

Domaines: Science non linéaire [physics]; Dynamique Chaotique [nlin.CD]; Sciences cognitives; Neurosciences; Sciences de l'ingénieur [physics]; Electronique; Physique [physics]; Physique mathématique [math-ph]; Mathématiques [math]; Physique mathématique [math-ph]

V. B. Kasantsev, V. Nekorkin, S. Binczak, S. Jacquir, J. M. Bilbault. Spiking dynamics of interacting oscillatory neurons. Chaos -Woodbury-, 2005, 15 (2), pp.023103. ⟨10.1063/1.1883866⟩. ⟨hal-00584216⟩