{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,29]],"date-time":"2025-09-29T08:25:58Z","timestamp":1759134358211},"reference-count":15,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2011,2]]},"abstract":"<jats:p> The wavefront profile and the propagation velocity of waves in an experimentally observed Belousov\u2013Zhabotinskii reaction are analyzed and a revised FitzHumgh\u2013Nagumo (FHN) model of these systems is identified. The ratio between the excitation period and the recovery period, for a solitary wave is studied, and included within the model. Averaged traveling velocities at different spatial positions are shown to be consistent under the same experimental conditions. The relationship between the propagation velocity and the curvature of the wavefront are also studied to deduce the diffusion coefficient in the model, which is a function of the curvature of the wavefront and not a constant. The application of the identified model is demonstrated on real experimental data and validated using multistep ahead predictions. <\/jats:p>","DOI":"10.1142\/s0218127411028556","type":"journal-article","created":{"date-parts":[[2011,3,4]],"date-time":"2011-03-04T10:42:47Z","timestamp":1299235367000},"page":"505-512","source":"Crossref","is-referenced-by-count":8,"title":["SPATIO-TEMPORAL MODELING OF WAVE FORMATION IN AN EXCITABLE CHEMICAL MEDIUM BASED ON A REVISED FITZHUGH\u2013NAGUMO MODEL"],"prefix":"10.1142","volume":"21","author":[{"given":"Y.","family":"ZHAO","sequence":"first","affiliation":[{"name":"Department of Automatic Control and System Engineering, University of Sheffield, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"S. A.","family":"BILLINGS","sequence":"additional","affiliation":[{"name":"Department of Automatic Control and System Engineering, University of Sheffield, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Y.","family":"GUO","sequence":"additional","affiliation":[{"name":"Department of Automatic Control and System Engineering, University of Sheffield, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"D.","family":"COCA","sequence":"additional","affiliation":[{"name":"Department of Automatic Control and System Engineering, University of Sheffield, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"L. L.","family":"DEMATOS","sequence":"additional","affiliation":[{"name":"Department of Chemical and Process Engineering, University of Sheffield, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"R. I.","family":"RISTIC","sequence":"additional","affiliation":[{"name":"Department of Chemical and Process Engineering, University of Sheffield, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","first-page":"1425","volume":"7","author":"Belmonte A. L.","journal-title":"J. Phys. II"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127407019998"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1063\/1.1681288"},{"key":"rf4","first-page":"257","volume":"17","author":"FitzHugh R.","journal-title":"Bull. Math. Biol."},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.86.18.6831"},{"key":"rf6","volume-title":"Thermodynamic Theory of Structure, Stability and Fluctuations","author":"Glansdorff P.","year":"1971"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/0009-2509(83)80132-8"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(86)90007-2"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1161\/01.RES.74.6.1071"},{"key":"rf10","volume":"5","author":"Rubin R. A.","journal-title":"Chaos Solit. Fract."},{"key":"rf11","first-page":"7691","volume":"101","author":"Rubin R. A.","journal-title":"J. Phys. Chem. A"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1126\/science.175.4022.634"},{"key":"rf13","first-page":"306","volume":"9","author":"Zhabotinskii A. M.","journal-title":"Biofizika"},{"key":"rf14","first-page":"1687","volume":"15","author":"Zhao Y.","journal-title":"Int. J. Bifurcation and Chaos"},{"key":"rf15","first-page":"739","volume":"24","author":"Zykov V.","journal-title":"Biophysics"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127411028556","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T14:56:42Z","timestamp":1565189802000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127411028556"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,2]]},"references-count":15,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2011,2]]}},"alternative-id":["10.1142\/S0218127411028556"],"URL":"https:\/\/doi.org\/10.1142\/s0218127411028556","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,2]]}}}