{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T18:09:47Z","timestamp":1725732587294},"publisher-location":"Berlin, Heidelberg","reference-count":13,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642386817"},{"type":"electronic","value":"9783642386824"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-642-38682-4_38","type":"book-chapter","created":{"date-parts":[[2013,6,20]],"date-time":"2013-06-20T12:40:41Z","timestamp":1371732041000},"page":"355-364","source":"Crossref","is-referenced-by-count":1,"title":["Numerical Implementation of Gradient Algorithms"],"prefix":"10.1007","author":[{"given":"Miguel","family":"Atencia","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yadira","family":"Hern\u00e1ndez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gonzalo","family":"Joya","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Francisco","family":"Sandoval","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"38_CR1","doi-asserted-by":"crossref","unstructured":"Abe, S.: Theories on the Hopfield Neural Networks. In: IEE International Joint Conference on Neural Networks, vol.\u00a0I, pp. 557\u2013564 (1989)","DOI":"10.1109\/IJCNN.1989.118633"},{"issue":"8","key":"38_CR2","doi-asserted-by":"publisher","first-page":"1802","DOI":"10.1162\/0899766054026620","volume":"17","author":"M.A. Atencia","year":"2005","unstructured":"Atencia, M.A., Joya, G., Sandoval, F.: Dynamical Analysis of Continuous Higher Order Hopfield Networks for Combinatorial Optimization. Neural Computation\u00a017(8), 1802\u20131819 (2005)","journal-title":"Neural Computation"},{"issue":"2","key":"38_CR3","doi-asserted-by":"publisher","first-page":"143","DOI":"10.1007\/s11063-004-3424-3","volume":"21","author":"M.A. Atencia","year":"2005","unstructured":"Atencia, M.A., Joya, G., Sandoval, F.: Hopfield Neural Networks for Parametric Identification of Dynamical Systems. Neural Processing Letters\u00a021(2), 143\u2013152 (2005)","journal-title":"Neural Processing Letters"},{"key":"38_CR4","doi-asserted-by":"crossref","unstructured":"van den Bos, A.: Parameter estimation for scientists and engineers. Wiley-Interscience (2007)","DOI":"10.1002\/9780470173862"},{"issue":"2","key":"38_CR5","doi-asserted-by":"publisher","first-page":"223","DOI":"10.1007\/s10543-010-0259-3","volume":"50","author":"M. Calvo","year":"2010","unstructured":"Calvo, M., Laburta, M.P., Montijano, J.I., R\u00e1ndez, L.: Projection methods preserving lyapunov functions. BIT Numerical Mathematics\u00a050(2), 223\u2013241 (2010)","journal-title":"BIT Numerical Mathematics"},{"key":"38_CR6","unstructured":"Hairer, E.: Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations. Springer, Berlin (2006)"},{"key":"38_CR7","unstructured":"Haykin, S.: Neural Networks. A Comprehensive Foundation. Macmillan College Publishing Company (1994)"},{"key":"38_CR8","doi-asserted-by":"publisher","first-page":"2554","DOI":"10.1073\/pnas.79.8.2554","volume":"79","author":"J. Hopfield","year":"1982","unstructured":"Hopfield, J.: Neural networks and physical systems with emergent collective computational abilities. Proc. Natl. Acad. Sci. USA\u00a079, 2554\u20132558 (1982)","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"38_CR9","doi-asserted-by":"publisher","first-page":"3088","DOI":"10.1073\/pnas.81.10.3088","volume":"81","author":"J. Hopfield","year":"1984","unstructured":"Hopfield, J.: Neurons with graded response have collective computational properties like those of two-state neurons. Proc. Natl. Acad. Sci. USA\u00a081, 3088\u20133092 (1984)","journal-title":"Proc. Natl. Acad. Sci. USA"},{"issue":"6","key":"38_CR10","doi-asserted-by":"publisher","first-page":"1723","DOI":"10.1137\/0728086","volume":"28","author":"A. Iserles","year":"1991","unstructured":"Iserles, A., Peplow, A., Stuart, A.: A unified approach to spurious solutions introduced by time discretisation. Part I: Basic theory. SIAM J. Numer. Anal.\u00a028(6), 1723\u20131751 (1991)","journal-title":"SIAM J. Numer. Anal."},{"key":"38_CR11","unstructured":"Khalil, H.K.: Nonlinear Systems. Prentice Hall (2002)"},{"issue":"1754","key":"38_CR12","doi-asserted-by":"publisher","first-page":"1021","DOI":"10.1098\/rsta.1999.0363","volume":"357","author":"R. McLachlan","year":"1999","unstructured":"McLachlan, R., Quispel, R., Robidoux, N.: Geometric integration using discrete gradients. Philos. Trans. of the Royal Society of London Series A\u00a0357(1754), 1021\u20131045 (1999)","journal-title":"Philos. Trans. of the Royal Society of London Series A"},{"key":"38_CR13","unstructured":"Stuart, A., Humphries, A.: Dynamical systems and numerical analysis. Cambridge University Press (1996)"}],"container-title":["Lecture Notes in Computer Science","Advances in Computational Intelligence"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-38682-4_38","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T09:12:12Z","timestamp":1557825132000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-38682-4_38"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783642386817","9783642386824"],"references-count":13,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-38682-4_38","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}