In-phase, anti-phase and fractured synchrony in ring networks of coupled relaxation electrochemical oscillators

Karantonis, A; Pagitsas, M; Miyakita, Y; Nakabayashi, S

dc.contributor.author	Karantonis, A	en
dc.contributor.author	Pagitsas, M	en
dc.contributor.author	Miyakita, Y	en
dc.contributor.author	Nakabayashi, S	en
dc.date.accessioned	2014-03-01T01:20:38Z
dc.date.available	2014-03-01T01:20:38Z
dc.date.issued	2004	en
dc.identifier.issn	1520-6106	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/15997
dc.subject	Oscillations	en
dc.subject	Ring Network	en
dc.subject.classification	Chemistry, Physical	en
dc.subject.other	Biology	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Cells	en
dc.subject.other	Electrodes	en
dc.subject.other	Mathematical models	en
dc.subject.other	Neutrons	en
dc.subject.other	Relaxation processes	en
dc.subject.other	Synchronization	en
dc.subject.other	Coupled relaxation	en
dc.subject.other	Electrochemical oscillators	en
dc.subject.other	Mathematical biology	en
dc.subject.other	Nerst-Planck equation	en
dc.subject.other	Electrochemistry	en
dc.title	In-phase, anti-phase and fractured synchrony in ring networks of coupled relaxation electrochemical oscillators	en
heal.type	journalArticle	en
heal.identifier.primary	10.1021/jp049767u	en
heal.identifier.secondary	http://dx.doi.org/10.1021/jp049767u	en
heal.language	English	en
heal.publicationDate	2004	en
heal.abstract	The synchronization modes of coupled relaxation electrochemical oscillators are studied. The case of ring networks of discrete electrochemical oscillators is considered where boundaries are not present. A model of discrete coupled electrochemical oscillators is derived systematically from a continuous model and a discretization procedure. It is shown that, under specific conditions, the cells are coupled electrically and the connection is linear and symmetric. Also, the coupling strength is derived explicitly as a function of the geometric network characteristics, as well as the electric properties of the surrounding medium. The model equations are studied numerically, and the different modes of synchronization are discussed in detail. It is also shown that, because of fast transitions and the elimination of phase or period differences, networks of coupled relaxation electrochemical oscillators can perform some primitive information manipulation tasks.	en
heal.publisher	AMER CHEMICAL SOC	en
heal.journalName	Journal of Physical Chemistry B	en
dc.identifier.doi	10.1021/jp049767u	en
dc.identifier.isi	ISI:000221137800047	en
dc.identifier.volume	108	en
dc.identifier.issue	18	en
dc.identifier.spage	5836	en
dc.identifier.epage	5846	en