{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:38:06Z","timestamp":1760783886502},"reference-count":12,"publisher":"World Scientific Pub Co Pte Lt","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2014,11]]},"abstract":"<jats:p> The dynamic feedback control of the cardiac pacing interval has been widely used to suppress alternans. In this paper, temporally and spatially suppressing the alternans for cardiac tissue consisting of a one-dimensional chain of cardiac units is investigated. The model employed is a nonlinear partial difference equation. The model's fixed points and their stability conditions are determined, and bifurcations and chaos phenomenon have been studied by numerical simulations. The main objective of this paper is to stabilize the unstable fixed point of the model. The proposed approach is nonlinear spatiotemporal delayed feedback, and the appropriate interval for controller feedback gain is calculated using the linear stability analysis. It is proven that the proposed approach is robust with respect to all bifurcation parameter variations. Also, set point tracking is achieved by employing delayed feedback with an integrator. Finally, simulation results are provided to show the effectiveness of the proposed methodology. <\/jats:p>","DOI":"10.1142\/s0218127414501405","type":"journal-article","created":{"date-parts":[[2014,11,28]],"date-time":"2014-11-28T16:50:32Z","timestamp":1417193432000},"page":"1450140","source":"Crossref","is-referenced-by-count":4,"title":["Control of Cardiac Arrhythmia by Nonlinear Spatiotemporal Delayed Feedback"],"prefix":"10.1142","volume":"24","author":[{"given":"Forough Rezaei","family":"Boroujeni","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering, K. N. Toosi University of Technology, P. O. Box 16315-1355, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Nastaran","family":"Vasegh","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, Shahid Rajaee Teacher Training University (SRTTU), P. O. Box 16788, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ali Khaki","family":"Sedigh","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, K. N. Toosi University of Technology, P. O. Box 16315-1355, Tehran, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2014,11,28]]},"reference":[{"key":"rf3","volume-title":"Controlling Chaos and Bifurcations in Engineering Systems","author":"Chen G.","year":"1999"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.53.R49"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.091553398"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1063\/1.1501544"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.89.198101"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1161\/hh0302.104723"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.78.4518"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.88.198102"},{"key":"rf11","series-title":"Enhanced E-book","volume-title":"Guyton and Hall Textbook of Medical Physiology","author":"Hall J. E.","year":"2010"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.71.051911"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1080\/1023619021000054006"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1161\/01.CIR.99.21.2819"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127414501405","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T03:40:22Z","timestamp":1565149222000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127414501405"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,11]]},"references-count":12,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2014,11,28]]},"published-print":{"date-parts":[[2014,11]]}},"alternative-id":["10.1142\/S0218127414501405"],"URL":"https:\/\/doi.org\/10.1142\/s0218127414501405","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,11]]}}}