{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,2]],"date-time":"2022-04-02T03:36:28Z","timestamp":1648870588016},"reference-count":22,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2012,3]]},"abstract":"<jats:p> We study curious features appearing in three systems of two coupled rings of cells with Z<jats:sub>3<\/jats:sub> \u00d7 Z<jats:sub>5<\/jats:sub> exact symmetry, and Z<jats:sub>3<\/jats:sub> and Z<jats:sub>5<\/jats:sub> interior symmetries. This study was motivated by previous work by Antoneli et al. [2008, 2010], on two rings of cells coupled through a \"buffer\" cell, with Z<jats:sub>3<\/jats:sub> \u00d7 Z<jats:sub>5<\/jats:sub> and D<jats:sub>3<\/jats:sub> \u00d7 D<jats:sub>5<\/jats:sub> exact and interior symmetry groups. There, quasi-periodic behavior was found through a sequence of Hopf bifurcations, and relaxation oscillation phenomena appearing further away from the third Hopf point seemed to be necessary for a curious dynamic feature to occur. In this paper, we analyze the dynamical behavior of three distinct networks of two coupled rings of cells, with no \"buffer\" cell, and find an analogous bifurcation scenario to explain the appearance of quasi-periodic motion in these systems and the curious exotic feature. We compute the relevant states numerically. <\/jats:p>","DOI":"10.1142\/s0218127412500642","type":"journal-article","created":{"date-parts":[[2012,2,15]],"date-time":"2012-02-15T20:41:54Z","timestamp":1329338514000},"page":"1250064","source":"Crossref","is-referenced-by-count":4,"title":["EXOTIC DYNAMICS IN NETWORKS OF COUPLED RINGS OF CELLS"],"prefix":"10.1142","volume":"22","author":[{"given":"CARLA M. A.","family":"PINTO","sequence":"first","affiliation":[{"name":"Instituto Superior de Engenharia do Porto, and Centro de Matem\u00e1tica da Universidade do Porto, Rua Dr Ant\u00f3nio Bernardino de Almeida, 431, 4200-072 Porto, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2012,5,2]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1137\/070684604"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2009.05.035"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(94)90947-4"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2007.09.015"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/14\/4\/305"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1007\/s002850000073"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/s002850000058"},{"key":"rf10","unstructured":"J.\u00a0Cohen and I.\u00a0Stewart, Nonlinear Phenomena in Physical and Biological Sciences, ed. S. K.\u00a0Malik (Indian National Science Academy, New Delhi, 2000)\u00a0pp. 1\u201367."},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1007\/BF02429870"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4574-2"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-0348-8167-8"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1007\/s00332-003-0593-6"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1080\/14689360512331318006"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1137\/040612634"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1090\/S0273-0979-06-01108-6"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-69689-3"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.2000.3929"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.64.821"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1007\/s00285-006-0021-2"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-010-9696-4"},{"key":"rf24","doi-asserted-by":"publisher","DOI":"10.1137\/S1111111103419896"},{"key":"rf25","doi-asserted-by":"publisher","DOI":"10.1006\/jdeq.2001.4001"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127412500642","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T17:36:20Z","timestamp":1565112980000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127412500642"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,3]]},"references-count":22,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2012,5,2]]},"published-print":{"date-parts":[[2012,3]]}},"alternative-id":["10.1142\/S0218127412500642"],"URL":"https:\/\/doi.org\/10.1142\/s0218127412500642","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,3]]}}}