Universität zu Köln

Yanchuk, Serhiy ORCID: 0000-0003-1628-9569, Perlikowski, Przemyslaw ORCID: 0000-0003-0117-4451, Popovych, Oleksandr V. and Tass, Peter A. (2011). Variability of spatio-temporal patterns in non-homogeneous rings of spiking neurons. Chaos, 21 (4). MELVILLE: AMER INST PHYSICS. ISSN 1054-1500

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Abstract

We show that a ring of unidirectionally delay-coupled spiking neurons may possess a multitude of stable spiking patterns and provide a constructive algorithm for generating a desired spiking pattern. More specifically, for a given time-periodic pattern, in which each neuron fires once within the pattern period at a predefined time moment, we provide the coupling delays and/or coupling strengths leading to this particular pattern. The considered homogeneous networks demonstrate a great multistability of various travelling time- and space-periodic waves which can propagate either along the direction of coupling or in opposite direction. Such a multistability significantly enhances the variability of possible spatio-temporal patterns and potentially increases the coding capability of oscillatory neuronal loops. We illustrate our results using FitzHugh-Nagumo neurons interacting via excitatory chemical synapses as well as limit-cycle oscillators. (C) 2011 American Institute of Physics. [doi:10.1063/1.3665200]

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Yanchuk, Serhiy UNSPECIFIED orcid.org/0000-0003-1628-9569 UNSPECIFIED Perlikowski, Przemyslaw UNSPECIFIED orcid.org/0000-0003-0117-4451 UNSPECIFIED Popovych, Oleksandr V. UNSPECIFIED UNSPECIFIED UNSPECIFIED Tass, Peter A. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-483782
DOI:	10.1063/1.3665200
Journal or Publication Title:	Chaos
Volume:	21
Number:	4
Date:	2011
Publisher:	AMER INST PHYSICS
Place of Publication:	MELVILLE
ISSN:	1054-1500
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language DELAYED RECURRENT LOOPS; TRANSIENT OSCILLATIONS; DEPENDENT PLASTICITY; COUPLED OSCILLATORS; PARKINSONS-DISEASE; ROTATING WAVES; BASAL GANGLIA; LEARNING RULE; NETWORKS; DYNAMICS Multiple languages Mathematics, Applied; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/48378