{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:15Z","timestamp":1740134535165,"version":"3.37.3"},"reference-count":26,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100003787","name":"Natural Science Foundation of Hebei Province","doi-asserted-by":"publisher","award":["A2012205028","Yscx1201"],"award-info":[{"award-number":["A2012205028","Yscx1201"]}],"id":[{"id":"10.13039\/501100003787","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Innovation Foundation of Shijiazhuang Mechanical Engineering College","award":["A2012205028","Yscx1201"],"award-info":[{"award-number":["A2012205028","Yscx1201"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>A Cohen-Grossberg neural network with discrete delays is investigated in this paper. Sufficient conditions for the existence of local Hopf bifurcation are obtained by analyzing the distribution of roots of characteristic equation. Moreover, the direction and stability of Hopf bifurcation are obtained by applying the normal form theory and the center manifold theorem. Numerical simulations are given to illustrate the obtained results.<\/jats:p>","DOI":"10.1155\/2014\/468584","type":"journal-article","created":{"date-parts":[[2014,3,9]],"date-time":"2014-03-09T05:21:33Z","timestamp":1394342493000},"page":"1-10","source":"Crossref","is-referenced-by-count":1,"title":["Stability and Hopf Bifurcation of an<i>n<\/i>-Neuron Cohen-Grossberg Neural Network with Time Delays"],"prefix":"10.1155","volume":"2014","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2192-7679","authenticated-orcid":true,"given":"Qiming","family":"Liu","sequence":"first","affiliation":[{"name":"Institute of Applied Mathematics, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sumin","family":"Yang","sequence":"additional","affiliation":[{"name":"Department of Information Engineering, Shijiazhuang Mechanical Engineering College, Shijiazhuang 050003, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/S0166-4115(08)60913-9"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1109\/72.822523"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.04.014"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.06.013"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2006.11.015"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2006.05.043"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2007.05.004"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2009.05.005"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2008.08.010"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2008.07.006"},{"issue":"6","key":"11","first-page":"863","volume":"10","year":"2003","journal-title":"Dynamics of Continuous, Discrete & Impulsive Systems. Series A"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(99)00009-3"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2006.886358"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127404011016"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2006.03.089"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2007.08.008"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2007.09.034"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2009.03.123"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2004.10.010"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2005.11.148"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2005.06.002"},{"key":"22","doi-asserted-by":"publisher","DOI":"10.1155\/2012\/909385"},{"key":"23","doi-asserted-by":"publisher","DOI":"10.1016\/j.neunet.2009.03.009"},{"key":"24","series-title":"Applied Mathematical Sciences","first-page":"x+365","volume":"3","year":"1977"},{"key":"25","series-title":"London Mathematical Society Lecture Note Series","first-page":"v+311 pp. (microfiche insert)","volume":"41","year":"1981"},{"key":"26","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-05156-2"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/468584.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/468584.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/468584.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2016,7,28]],"date-time":"2016-07-28T19:57:48Z","timestamp":1469735868000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/468584\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":26,"alternative-id":["468584","468584"],"URL":"https:\/\/doi.org\/10.1155\/2014\/468584","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}