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

For citation:

Kasatkin D. V. The phenomenon of self-referential phase reset in ensembles of interacting FitzHugh–Nagumo neurons. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 1, pp. 79-92. DOI: 10.18500/0869-6632-2009-17-1-79-92

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text:
(downloads: 122)
Article type: 

The phenomenon of self-referential phase reset in ensembles of interacting FitzHugh–Nagumo neurons

Kasatkin Dmitry Vladimirovich, Institute of Applied Physics of the Russian Academy of Sciences

The phenomenon of self-referential phase reset are investigated in ensembles of interacting FitzHugh–Nagumo neurons with different topology of couplings. It is shown that the reset phase of neurons oscillation is independent of the initial phase and is defined by the stimulus parameters. This process does not require direct influence on all elements of the ensemble and takes place when stimulus is applied to one of the interacting neurons only. The influence of inter-neuron couplings and stimulus parameters on ensemble dynamics and phase reset phenomenon is studied.

  1. Llina’s R. I of the Vortex: From Neurons to Self. Cambrige, Massachusetts: MIT Press. 2001. 316 p.
  2. Welsh JP, Lang EJ, Sugihara I, Llina’s R. Dynamic organization of motor control with the olivocerebellar system. Nature. 1995;374(6521):453–457. DOI: 10.1038/374453a0.
  3. Ito J, Nikolaev AR, van Leeuwen C. Spatial and temporal structure of phase synchronization of spontaneous alpha EEG activity. Biological Cybernetics. 2005;92(1):54–60. DOI: 10.1007/s00422-004-0533-z.
  4. Bhattacharya J, Petsche H, Feldmann U, Rescher B. EEG gamma-band phase synchronization between posterior and frontal cortex during mental rotation in humans. Neuroscience Letters. 2001;311(1):29–32. DOI: 10.1016/s0304-3940(01)02133-4.
  5. Gong P, Nikolaev AR, van Leeuwen C. Scale-invariant fluctuations of the dynamical synchronization in human brain electrical activity. Neuroscience Letters. 2003;336(1):33–36. DOI: 10.1016/S0304-3940(02)01247-8.
  6. Leznik E, Makarenko VI, Llina’s R. Electrotonically mediated oscillatory patterns in neuronal ensembles: An in vitro voltage-dependent dye-imaging study in the inferior olive. J. Neuroscience. 2002;22(7):2804–2815. DOI: 10.1523/JNEUROSCI.22-07-02804.2002.
  7. Kazantsev VB, Nekorkin VI. et al. Self-referential phase reset based on inferior olive oscillator dynamics. Proc. Natl. Acad. Sci. USA. 2004;101(52):18183–18188. DOI: 10.1073/pnas.0407900101.
  8. Kazantsev VB, Nekorkin VI. Phase-controlled oscillations in neurodynamics. Nonlinear waves - 2004. Ed. Gaponov-Sins AV, Nonorkin VI. Nizhny Novgorod: IPF RAS; 2005. 544 p. (In Russian).
  9. Kazantsev VB, Nekorkin VI. Autoreset of phase and oscillatory activity patterns in autooscillatory models of neuronal systems. Izvestiya VUZ. Applied Nonlinear Dynamics. 2005;13(4):56–72. DOI: 10.18500/0869-6632-2005-13-4-56-72.
Short text (in English):
(downloads: 89)