{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T08:59:09Z","timestamp":1775638749279,"version":"3.50.1"},"reference-count":48,"publisher":"World Scientific Pub Co Pte Ltd","issue":"02","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11702018"],"award-info":[{"award-number":["11702018"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Project funded by China Postdoctoral Science Foundation","award":["2016M600037"],"award-info":[{"award-number":["2016M600037"]}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"crossref","award":["FRF-TP-16-068A1"],"award-info":[{"award-number":["FRF-TP-16-068A1"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2018,2]]},"abstract":"<jats:p> Many neurological diseases are characterized by abnormally synchronous oscillations of neuronal populations. However, how the neurons can synchronize with each other is still not fully understood, which may have potentially hampered the understanding and diagnosis for these dynamical diseases. In this paper, the self-feedback time delay (SFTD) and adaptive control theory are employed to control the onset of synchronization in the coupled FitzHugh\u2013Nagumo (FHN) neurons. It is found that the larger SFTD can induce the complete synchronization of coupled neuronal system. Further investigation reveals that the reinforcing SFTD can significantly postpone the synchronization onsets. In addition, for the case that synchronization cannot be achieved by adjusting SFTD, the parameter estimation update laws and adaptive controller with respect to SFTD of coupled system are investigated to deduce the sufficient condition for complete synchronization. Simulations are also provided to illustrate the effectiveness of the proposed methods. In particular, we observed the fascinating dynamical synchronization transitions, such as chaotic synchronization and bursting synchronization transitions, as well as the transition from anti-synchronization to complete synchronization. <\/jats:p>","DOI":"10.1142\/s0218127418500311","type":"journal-article","created":{"date-parts":[[2018,3,22]],"date-time":"2018-03-22T05:16:50Z","timestamp":1521695810000},"page":"1850031","source":"Crossref","is-referenced-by-count":14,"title":["Synchronization of Coupled FitzHugh\u2013Nagumo Neurons Using Self-Feedback Time Delay"],"prefix":"10.1142","volume":"28","author":[{"given":"Denggui","family":"Fan","sequence":"first","affiliation":[{"name":"School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinle","family":"Song","sequence":"additional","affiliation":[{"name":"School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1447-1749","authenticated-orcid":false,"given":"Fucheng","family":"Liao","sequence":"additional","affiliation":[{"name":"School of Mathematics and Physics, University of Science and Technology Beijing, Beijing 100083, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2018,3,22]]},"reference":[{"key":"S0218127418500311BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2008.12.021"},{"key":"S0218127418500311BIB002","doi-asserted-by":"publisher","DOI":"10.1007\/s40435-014-0104-7"},{"key":"S0218127418500311BIB003","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411029239"},{"key":"S0218127418500311BIB004","doi-asserted-by":"publisher","DOI":"10.1109\/TNSRE.2016.2618937"},{"key":"S0218127418500311BIB005","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(96)00189-7"},{"key":"S0218127418500311BIB006","doi-asserted-by":"publisher","DOI":"10.1007\/s00422-005-0574-y"},{"key":"S0218127418500311BIB007","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pcbi.1000092"},{"key":"S0218127418500311BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s11571-012-9237-6"},{"key":"S0218127418500311BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2009.07.025"},{"key":"S0218127418500311BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2015.01.040"},{"key":"S0218127418500311BIB011","doi-asserted-by":"publisher","DOI":"10.1007\/s11431-016-0169-8"},{"key":"S0218127418500311BIB012","doi-asserted-by":"publisher","DOI":"10.1111\/j.1469-7793.1998.003bo.x"},{"key":"S0218127418500311BIB013","doi-asserted-by":"publisher","DOI":"10.1016\/S0006-3495(61)86902-6"},{"key":"S0218127418500311BIB014","doi-asserted-by":"publisher","DOI":"10.1038\/35065745"},{"key":"S0218127418500311BIB015","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-2961-4"},{"key":"S0218127418500311BIB016","doi-asserted-by":"publisher","DOI":"10.1113\/jphysiol.1952.sp004764"},{"key":"S0218127418500311BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2012.06.003"},{"key":"S0218127418500311BIB018","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2013.2284180"},{"key":"S0218127418500311BIB019","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127416502187"},{"key":"S0218127418500311BIB020","doi-asserted-by":"publisher","DOI":"10.1109\/JRPROC.1962.288235"},{"key":"S0218127418500311BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.matcom.2011.10.005"},{"key":"S0218127418500311BIB022","doi-asserted-by":"publisher","DOI":"10.1016\/j.apm.2012.06.003"},{"key":"S0218127418500311BIB023","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127412501775"},{"key":"S0218127418500311BIB024","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127413300395"},{"key":"S0218127418500311BIB025","doi-asserted-by":"publisher","DOI":"10.1063\/1.4917383"},{"key":"S0218127418500311BIB026","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127416500589"},{"key":"S0218127418500311BIB027","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2011.05.015"},{"key":"S0218127418500311BIB028","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2011.03.012"},{"key":"S0218127418500311BIB029","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-012-0415-1"},{"key":"S0218127418500311BIB030","doi-asserted-by":"publisher","DOI":"10.1007\/s11432-014-5260-z"},{"key":"S0218127418500311BIB031","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2015.09.008"},{"key":"S0218127418500311BIB032","first-page":"117","volume":"8","author":"Vaidyanathan S.","year":"2015","journal-title":"Int. J. PharmTech Res."},{"key":"S0218127418500311BIB033","doi-asserted-by":"publisher","DOI":"10.1523\/JNEUROSCI.2023-17.2017"},{"key":"S0218127418500311BIB034","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2006.08.062"},{"key":"S0218127418500311BIB035","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-009-9602-0"},{"key":"S0218127418500311BIB036","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2010.03.031"},{"key":"S0218127418500311BIB037","doi-asserted-by":"publisher","DOI":"10.1063\/1.3562547"},{"key":"S0218127418500311BIB038","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-010-9893-1"},{"key":"S0218127418500311BIB039","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0015851"},{"key":"S0218127418500311BIB040","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2011.16.607"},{"key":"S0218127418500311BIB041","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-011-0108-1"},{"key":"S0218127418500311BIB042","doi-asserted-by":"publisher","DOI":"10.1007\/s11571-012-9222-0"},{"key":"S0218127418500311BIB043","doi-asserted-by":"publisher","DOI":"10.1140\/epjb\/e2013-40078-3"},{"key":"S0218127418500311BIB044","doi-asserted-by":"publisher","DOI":"10.1007\/s11431-014-5535-z"},{"key":"S0218127418500311BIB045","doi-asserted-by":"publisher","DOI":"10.1007\/s11431-014-5531-3"},{"key":"S0218127418500311BIB046","doi-asserted-by":"publisher","DOI":"10.1007\/s11431-014-5533-1"},{"key":"S0218127418500311BIB047","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2012.08.009"},{"key":"S0218127418500311BIB048","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2013.10.003"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127418500311","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,9,20]],"date-time":"2019-09-20T00:36:48Z","timestamp":1568939808000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127418500311"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,2]]},"references-count":48,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2018,3,22]]},"published-print":{"date-parts":[[2018,2]]}},"alternative-id":["10.1142\/S0218127418500311"],"URL":"https:\/\/doi.org\/10.1142\/s0218127418500311","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,2]]}}}