{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,5]],"date-time":"2026-06-05T04:40:46Z","timestamp":1780634446817,"version":"3.54.1"},"reference-count":50,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"8","license":[{"start":{"date-parts":[[2016,8,1]],"date-time":"2016-08-01T00:00:00Z","timestamp":1470009600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61573194"],"award-info":[{"award-number":["61573194"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61374180"],"award-info":[{"award-number":["61374180"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61573096"],"award-info":[{"award-number":["61573096"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Foundation","doi-asserted-by":"publisher","award":["2013M530229"],"award-info":[{"award-number":["2013M530229"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002858","name":"China Postdoctoral Science Special Foundation","doi-asserted-by":"crossref","award":["2014T70463"],"award-info":[{"award-number":["2014T70463"]}],"id":[{"id":"10.13039\/501100002858","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Six Talent Peaks High Level Project of Jiangsu Province, China","award":["ZNDW-004"],"award-info":[{"award-number":["ZNDW-004"]}]},{"name":"Science Foundation of Nanjing University of Posts and Telecommunications","award":["NY213095"],"award-info":[{"award-number":["NY213095"]}]},{"name":"1311 Talents Project through the Nanjing University of Posts and Telecommunications"},{"DOI":"10.13039\/501100000923","name":"Australian Research Council","doi-asserted-by":"publisher","award":["DP120104986"],"award-info":[{"award-number":["DP120104986"]}],"id":[{"id":"10.13039\/501100000923","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Circuits Syst. I"],"published-print":{"date-parts":[[2016,8]]},"DOI":"10.1109\/tcsi.2016.2567639","type":"journal-article","created":{"date-parts":[[2016,7,12]],"date-time":"2016-07-12T20:37:31Z","timestamp":1468355851000},"page":"1243-1254","source":"Crossref","is-referenced-by-count":33,"title":["Stability and Bifurcation Analysis of Arbitrarily High-Dimensional Genetic Regulatory Networks With Hub Structure and Bidirectional Coupling"],"prefix":"10.1109","volume":"63","author":[{"given":"Min","family":"Xiao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Wei Xing","family":"Zheng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Guoping","family":"Jiang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jinde","family":"Cao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(96)00215-1"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1007\/BF01049141"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1137\/140954131"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2011.2173385"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2014.08.012"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2015.03.041"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.39.347"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2014.2367591"},{"key":"ref35","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2012.2224123"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2009.07.001"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2010.08.009"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2014.05.122"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1080\/00207160.2013.808741"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2006.883883"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1038\/35002125"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.mbs.2008.05.004"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1017\/S0308210507000091"},{"key":"ref21","doi-asserted-by":"crossref","first-page":"464","DOI":"10.1016\/j.jmaa.2009.03.037","article-title":"Hopf bifurcation analysis for a model of genetic regulatory system with delay","volume":"356","author":"wang","year":"2009","journal-title":"J Math Anal Appl"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2010.05.010"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2009.03.032"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2012.07.021"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2012.05.032"},{"key":"ref50","author":"korn","year":"2000","journal-title":"Mathematical Handbook for Scientists and Engineers Definitions Theorems and Formulas for Reference and Review"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1142\/S0219525909002040"},{"key":"ref11","doi-asserted-by":"crossref","first-page":"1685","DOI":"10.1109\/TNN.2011.2165556","article-title":"Delay-independent stability of genetic regulatory networks","volume":"22","author":"wu","year":"2011","journal-title":"IEEE Trans Neural Netw"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139998344015"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/TBCAS.2011.2124459"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1109\/TNB.2012.2214231"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1109\/TNB.2014.2327582"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1109\/TCBB.2014.2351815"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2002.803354"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-9822(03)00494-9"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1016\/S0960-9822(03)00534-7"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2006.05.001"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2013.2245451"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2008.925632"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2002.1001949"},{"key":"ref5","doi-asserted-by":"crossref","first-page":"381","DOI":"10.1038\/28639","article-title":"A neuronal ryanodine receptor mediates light-induced phase delays of the circadian clock","volume":"394","author":"ding","year":"1998","journal-title":"Nature"},{"key":"ref8","author":"hassard","year":"1981","journal-title":"Theory and Applications of Hopf Bifurcation"},{"key":"ref7","doi-asserted-by":"crossref","DOI":"10.1201\/9781420011432","author":"alon","year":"2006","journal-title":"An Introduction to Systems Biology Design Principles of Biological Circuits"},{"key":"ref49","first-page":"863","article-title":"On the zeros of transcendental functions with applications to stability of delay differential equations with two delays","volume":"10","author":"ruan","year":"2003","journal-title":"Dyn Contin Discrete Impuls Syst Ser A Math Anal"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2006.883882"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1007\/978-94-015-7920-9"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2014.2345502"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3978-7"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1093\/imamci\/2.2.153"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2008.2006210"},{"key":"ref41","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1109\/TCSI.2004.841574","article-title":"Global asymptotic and robust stability of recurrent neural networks with time delays","volume":"52","author":"cao","year":"2005","journal-title":"IEEE Trans Circuits Syst I Reg Papers"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2013.2265959"},{"key":"ref43","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2012.2190651"}],"container-title":["IEEE Transactions on Circuits and Systems I: Regular Papers"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/8919\/7536673\/07509655.pdf?arnumber=7509655","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,3]],"date-time":"2022-07-03T00:49:10Z","timestamp":1656809350000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/7509655\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,8]]},"references-count":50,"journal-issue":{"issue":"8"},"URL":"https:\/\/doi.org\/10.1109\/tcsi.2016.2567639","relation":{},"ISSN":["1549-8328","1558-0806"],"issn-type":[{"value":"1549-8328","type":"print"},{"value":"1558-0806","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,8]]}}}