{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,7,4]],"date-time":"2024-07-04T08:29:08Z","timestamp":1720081748698},"reference-count":16,"publisher":"MIT Press - Journals","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Computation"],"published-print":{"date-parts":[[2009,1]]},"abstract":"<jats:p> In this letter, using methods proposed by E. Kaslik, St. Balint, and their colleagues, we develop a new method, expansion approach, for estimating the attraction domain of asymptotically stable equilibrium points of Hopfield-type neural networks. We prove theoretically and demonstrate numerically that the proposed approach is feasible and efficient. The numerical results that obtained in the application examples, including the network system considered by E. Kaslik, L. Br\u0103escu, and St. Balint, indicate that the proposed approach is able to achieve better attraction domain estimation. <\/jats:p>","DOI":"10.1162\/neco.2009.11-07-637","type":"journal-article","created":{"date-parts":[[2008,12,31]],"date-time":"2008-12-31T13:33:39Z","timestamp":1230730419000},"page":"101-120","source":"Crossref","is-referenced-by-count":9,"title":["A New Approach for Estimating the Attraction Domain for Hopfield-Type Neural Networks"],"prefix":"10.1162","volume":"21","author":[{"given":"Dequan","family":"Jin","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jigen","family":"Peng","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"281","reference":[{"key":"B1","first-page":"8","volume":"23","author":"Balint St.","year":"1985","journal-title":"An. Univ. Timisoara"},{"issue":"1","key":"B2","first-page":"1","volume":"24","author":"Balint St.","year":"1986","journal-title":"An. Univ. Timisoara"},{"key":"B3","doi-asserted-by":"publisher","DOI":"10.1155\/ADE\/2006\/23939"},{"issue":"3","key":"B4","first-page":"15","volume":"25","author":"Balint St.","year":"1987","journal-title":"An. Univ. Timisoara"},{"key":"B5","doi-asserted-by":"publisher","DOI":"10.1109\/72.655028"},{"key":"B6","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2004.835589"},{"key":"B7","doi-asserted-by":"publisher","DOI":"10.1137\/S0036139997321219"},{"key":"B8","volume-title":"Stability domains, nonlinear systems in aviation, aerospace, aeronautics, astronautics","author":"Gruyitch L.","year":"2004"},{"issue":"1","key":"B10","first-page":"67","volume":"10","author":"Kaslik E.","year":"2003","journal-title":"Nonlinear Studies"},{"key":"B11","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2004.09.046"},{"key":"B12","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2006.04.054"},{"issue":"2","key":"B13","first-page":"1","volume":"10","author":"Kaslik E.","year":"2003","journal-title":"Nonlinear Studies"},{"key":"B14","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2005.02.073"},{"key":"B15","doi-asserted-by":"publisher","DOI":"10.1109\/SYNASC.2005.53"},{"key":"B16","doi-asserted-by":"publisher","DOI":"10.1016\/S0893-6080(05)80076-0"},{"key":"B17","volume-title":"Neural networks systems techniques and applications","author":"Xu Z. B.","year":"1997"}],"container-title":["Neural Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mitpressjournals.org\/doi\/pdf\/10.1162\/neco.2009.11-07-637","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,12]],"date-time":"2021-03-12T21:37:46Z","timestamp":1615585066000},"score":1,"resource":{"primary":{"URL":"https:\/\/direct.mit.edu\/neco\/article\/21\/1\/101-120\/7396"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,1]]},"references-count":16,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2009,1]]}},"alternative-id":["10.1162\/neco.2009.11-07-637"],"URL":"https:\/\/doi.org\/10.1162\/neco.2009.11-07-637","relation":{},"ISSN":["0899-7667","1530-888X"],"issn-type":[{"value":"0899-7667","type":"print"},{"value":"1530-888X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,1]]}}}