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Kazantsev VB, Nekorkin VI, Binczak S, et al. Spiking patterns emerging from wave instabilities in a one-dimensional neural lattice. Phys Rev E Stat Nonlin Soft Matter Phys. 2003;68(1):017201doi: 10.1103/PhysRevE.68.017201.
Kazantsev, V. B., Nekorkin, V. I., Binczak, S., & Bilbault, J. M. (2003). Spiking patterns emerging from wave instabilities in a one-dimensional neural lattice. Physical review. E, Statistical, nonlinear, and soft matter physics, 68(1), 017201. https://doi.org/10.1103/PhysRevE.68.017201
Kazantsev, V B, et al. "Spiking patterns emerging from wave instabilities in a one-dimensional neural lattice." Physical review. E, Statistical, nonlinear, and soft matter physics vol. 68,1 (2003): 017201. doi: https://doi.org/10.1103/PhysRevE.68.017201
Kazantsev VB, Nekorkin VI, Binczak S, Bilbault JM. Spiking patterns emerging from wave instabilities in a one-dimensional neural lattice. Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jul;68(1):017201. doi: 10.1103/PhysRevE.68.017201. Epub 2003 Jul 08. PMID: 12935288.
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Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jul;68(1):017201. doi: 10.1103/PhysRevE.68.017201. Epub 2003 Jul 08.

Spiking patterns emerging from wave instabilities in a one-dimensional neural lattice.

Physical review. E, Statistical, nonlinear, and soft matter physics

V B Kazantsev, V I Nekorkin, S Binczak, J M Bilbault

Affiliations

  1. Institute of Applied Physics of RAS, 46 Uljanov strasse, 603950 Nizhny Novgorod, Russia. [email protected]

PMID: 12935288 DOI: 10.1103/PhysRevE.68.017201

Abstract

The dynamics of a one-dimensional lattice (chain) of electrically coupled neurons modeled by the FitzHugh-Nagumo excitable system with modified nonlinearity is investigated. We have found that for certain conditions the lattice exhibits a countable set of pulselike wave solutions. The analysis of homoclinic and heteroclinic bifurcations is given. Corresponding bifurcation sets have the shapes of spirals twisting to the same center. The appearance of chaotic spiking patterns emerging from wave instabilities is discussed.

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