Repository logo
 
Publication

Exciting dynamical behavior in a network of two coupled rings of Chen oscillators

dc.contributor.authorPinto, Carla M.A.
dc.date.accessioned2015-01-06T14:21:55Z
dc.date.available2015-01-06T14:21:55Z
dc.date.issued2014
dc.description.abstractWe study exotic patterns appearing in a network of coupled Chen oscillators. Namely, we consider a network of two rings coupled through a “buffer” cell, with Z3×Z5 symmetry group. Numerical simulations of the network reveal steady states, rotating waves in one ring and quasiperiodic behavior in the other, and chaotic states in the two rings, to name a few. The different patterns seem to arise through a sequence of Hopf bifurcations, period-doubling, and halving-period bifurcations. The network architecture seems to explain certain observed features, such as equilibria and the rotating waves, whereas the properties of the chaotic oscillator may explain others, such as the quasiperiodic and chaotic states. We use XPPAUT and MATLAB to compute numerically the relevant states.por
dc.identifier.doi10.1007/s11071-014-1512-0
dc.identifier.issn0924-090X
dc.identifier.issn1573-269X
dc.identifier.urihttp://hdl.handle.net/10400.22/5304
dc.language.isoengpor
dc.peerreviewedyespor
dc.publisherSpringerpor
dc.relation.ispartofseriesNonlinear Dynamics;Vol. 78, Issue 2
dc.relation.publisherversionhttp://link.springer.com/article/10.1007/s11071-014-1512-0por
dc.subjectChaospor
dc.subjectQuasiperiodic statespor
dc.subjectSymmetrypor
dc.subjectHopf bifurcationpor
dc.subjectPeriod-doubling bifurcationpor
dc.subjectHalving-period bifurcationpor
dc.titleExciting dynamical behavior in a network of two coupled rings of Chen oscillatorspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage1259por
oaire.citation.startPage1245por
oaire.citation.titleNonlinear Dynamicspor
oaire.citation.volume78por
person.familyNamePinto
person.givenNameCarla
person.identifier.orcid0000-0002-0729-1133
person.identifier.ridJ-5221-2013
person.identifier.scopus-author-id14326048800
rcaap.rightsopenAccesspor
rcaap.typearticlepor
relation.isAuthorOfPublicationedfd0bf4-9f73-47ee-817a-860e3d088994
relation.isAuthorOfPublication.latestForDiscoveryedfd0bf4-9f73-47ee-817a-860e3d088994

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
ART6_CarlaPinto_DMA_2014.pdf
Size:
15.27 MB
Format:
Adobe Portable Document Format
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description: