Universität zu Köln

Perlikowski, P., Yanchuk, S., Popovych, O. V. and Tass, P. A. (2010). Periodic patterns in a ring of delay-coupled oscillators. Phys. Rev. E, 82 (3). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-2376

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Abstract

We describe the appearance and stability of spatiotemporal periodic patterns (rotating waves) in unidirectional rings of coupled oscillators with delayed couplings. We show how delays in the coupling lead to the splitting of each rotating wave into several new ones. The appearance of rotating waves is mediated by the Hopf bifurcations of the symmetric equilibrium. We also conclude that the coupling delays can be effectively replaced by increasing the number of oscillators in the chain. The phenomena are shown for the Stuart-Landau oscillators as well as for the coupled FitzHugh-Nagumo systems modeling an ensemble of spiking neurons interacting via excitatory chemical synapses.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Perlikowski, P. UNSPECIFIED UNSPECIFIED UNSPECIFIED Yanchuk, S. UNSPECIFIED UNSPECIFIED UNSPECIFIED Popovych, O. V. UNSPECIFIED UNSPECIFIED UNSPECIFIED Tass, P. A. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-496505
DOI:	10.1103/PhysRevE.82.036208
Journal or Publication Title:	Phys. Rev. E
Volume:	82
Number:	3
Date:	2010
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1550-2376
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language TRANSIENT OSCILLATIONS; ROTATING WAVES; SYNCHRONIZATION; DYNAMICS; NETWORKS; SYMMETRY; SYSTEM; ARRAYS; STATES; MODEL Multiple languages Physics, Fluids & Plasmas; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/49650