{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T23:04:53Z","timestamp":1773615893593,"version":"3.50.1"},"reference-count":23,"publisher":"Allerton Press","issue":"7","license":[{"start":{"date-parts":[[2017,12,1]],"date-time":"2017-12-01T00:00:00Z","timestamp":1512086400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2017,12,1]],"date-time":"2017-12-01T00:00:00Z","timestamp":1512086400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Aut. Control Comp. Sci."],"published-print":{"date-parts":[[2017,12]]},"DOI":"10.3103\/s0146411617070082","type":"journal-article","created":{"date-parts":[[2018,2,15]],"date-time":"2018-02-15T03:40:46Z","timestamp":1518666046000},"page":"658-665","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Relaxation Oscillations in a System of Two Pulsed Synaptically Coupled Neurons"],"prefix":"10.3103","volume":"51","author":[{"given":"S. D.","family":"Glyzin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A. Yu.","family":"Kolesov","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"E. A.","family":"Marushkina","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1627","published-online":{"date-parts":[[2018,2,7]]},"reference":[{"issue":"10","key":"6668_CR1","doi-asserted-by":"publisher","first-page":"1193","DOI":"10.1134\/S0012266113100017","volume":"49","author":"S.D. Glyzin","year":"2013","unstructured":"Glyzin, S.D., Kolesov, A.Yu., and Rozov, N.Kh., On a method for mathematical modeling of chemical synapses, Differ. Equations, 2013, vol. 49, no. 10, pp. 1193\u20131210.","journal-title":"Differ. Equations"},{"issue":"7","key":"6668_CR2","doi-asserted-by":"publisher","first-page":"927","DOI":"10.1134\/S0012266111070020","volume":"47","author":"S.D. Glyzin","year":"2011","unstructured":"Glyzin, S.D., Kolesov, A.Yu., and Rozov, N.Kh., Relaxation self-oscillations in neuron systems: I, Differ. Equations, 2011, vol. 47, no. 7, pp. 927\u2013941.","journal-title":"Differ. Equations"},{"issue":"12","key":"6668_CR3","doi-asserted-by":"publisher","first-page":"1697","DOI":"10.1134\/S0012266111120019","volume":"47","author":"S.D. Glyzin","year":"2011","unstructured":"Glyzin, S.D., Kolesov, A.Yu., and Rozov, N.Kh., Relaxation self-oscillations in neuron systems: II, Differ. Equations, 2011, vol. 47, no. 12, pp. 1697\u20131713.","journal-title":"Differ. Equations"},{"issue":"2","key":"6668_CR4","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1134\/S0012266112020012","volume":"48","author":"S.D. Glyzin","year":"2012","unstructured":"Glyzin, S.D., Kolesov, A.Yu., and Rozov, N.Kh., Relaxation self-oscillations in neuron systems: III, Differ. Equations, 2012, vol. 48, no. 2, pp. 159\u2013175.","journal-title":"Differ. Equations"},{"issue":"5","key":"6668_CR5","doi-asserted-by":"publisher","first-page":"702","DOI":"10.1134\/S0965542512050090","volume":"52","author":"S.D. Glyzin","year":"2012","unstructured":"Glyzin, S.D., Kolesov, A.Yu., and Rozov, N.Kh., Discrete autowaves in neural systems, Comput. Math. Math. Phys., 2012, vol. 52, no. 5, pp. 702\u2013719.","journal-title":"Comput. Math. Math. Phys."},{"issue":"3","key":"6668_CR6","doi-asserted-by":"publisher","first-page":"383","DOI":"10.1070\/RM2015v070n03ABEH004951","volume":"70","author":"S.D. Glyzin","year":"2015","unstructured":"Glyzin, S.D., Kolesov, A.Yu., and Rozov, N.Kh., Self-excited relaxation oscillations in networks of impulse neurons, Russ. Math. Surv., 2015, vol. 70, no. 3, pp. 383\u2013452.","journal-title":"Russ. Math. Surv."},{"key":"6668_CR7","doi-asserted-by":"publisher","first-page":"393","DOI":"10.1007\/BF00198772","volume":"68","author":"D. Somers","year":"1993","unstructured":"Somers, D. and Kopell, N., Rapid synchronization through fast threshold modulation Biol. Cybern., 1993, vol. 68, pp. 393\u2013407.","journal-title":"Biol. Cybern."},{"key":"6668_CR8","first-page":"261","volume":"33","author":"D. Somers","year":"1995","unstructured":"Somers, D. and Kopell, N., Anti-phase solutions in relaxation oscillators coupled through excitatory interactions J. Math. Biol., 1995, vol. 33, pp. 261\u2013280.","journal-title":"J. Math. Biol."},{"key":"6668_CR9","volume-title":"Differentsialnye uravneniya s malym parametrom i relaksatsionnye kolebaniya","author":"E.F. Mishchenko","year":"1975","unstructured":"Mishchenko, E.F. and Rozov, N.Kh., Differentsialnye uravneniya s malym parametrom i relaksatsionnye kolebaniya (Differential Equations with a Small Parameter and Relaxation Oscillations), Moscow, 1975."},{"key":"6668_CR10","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1016\/S0006-3495(61)86902-6","volume":"1","author":"R.A. FitzHugh","year":"1961","unstructured":"FitzHugh, R.A., Impulses and physiological states in theoretical models of nerve membrane, Biophys. J., 1961, vol. 1, pp. 445\u2013466.","journal-title":"Biophys. J."},{"key":"6668_CR11","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1007\/978-3-540-31544-5_2","volume":"1860","author":"D. Terman","year":"2005","unstructured":"Terman, D., An introduction to dynamical systems and neuronal dynamics, Tutorials Math. Biosci. I, Lect. Notes Math., 2005, vol. 1860, pp. 21\u201368.","journal-title":"Tutorials Math. Biosci. I, Lect. Notes Math."},{"key":"6668_CR12","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1111\/j.1749-6632.1948.tb39854.x","volume":"50","author":"G.E. Hutchinson","year":"1948","unstructured":"Hutchinson, G.E., Circular causal systems in ecology, Ann. N. Y. Acad. Sci., 1948, vol. 50, pp. 221\u2013246.","journal-title":"Ann. N. Y. Acad. Sci."},{"issue":"12","key":"6668_CR13","doi-asserted-by":"publisher","first-page":"1990","DOI":"10.1134\/S0965542510120031","volume":"50","author":"A.Yu. Kolesov","year":"2010","unstructured":"Kolesov, A.Yu., Mishchenko, E.F., and Rozov, N.Kh., A modification of Hutchinson\u2019s equation, Comput. Math. Math. Phys., 2010, vol. 50, no. 12, 1990\u20132002.","journal-title":"Comput. Math. Math. Phys."},{"issue":"2","key":"6668_CR14","first-page":"133","volume":"17","author":"S.D. Glyzin","year":"2010","unstructured":"Glyzin, S.D. and Kiseleva, E.O., The account of delay in a connecting element between two oscillators, Model. Anal. Inform. Syst., 2010, vol. 17, no. 2, pp. 133\u2013143.","journal-title":"Model. Anal. Inform. Syst."},{"issue":"3","key":"6668_CR15","first-page":"134","volume":"17","author":"S.D. Glyzin","year":"2010","unstructured":"Glyzin, S.D. and Soldatova, E.A., The factor of delay in a system of coupled oscillators FitzHugh\u2013Nagumo, Model. Anal. Inform. Syst., 2010, vol. 17, no. 3, pp. 134\u2013143.","journal-title":"Model. Anal. Inform. Syst."},{"key":"6668_CR16","first-page":"119","volume":"216","author":"A.Yu. Kolesov","year":"1997","unstructured":"Kolesov, A.Yu., Mishchenko, E.F., and Rozov, N.Kh., Relay with delay and its C\n                           1-approximation, Proc. Steklov Inst. Math., 1997, vol. 216, pp. 119\u2013146.","journal-title":"Proc. Steklov Inst. Math."},{"issue":"5","key":"6668_CR17","doi-asserted-by":"publisher","first-page":"676","DOI":"10.1134\/S0001434613050040","volume":"93","author":"S.D. Glyzin","year":"2013","unstructured":"Glyzin, S.D., Kolesov, A.Yu., and Rozov, N.Kh, Modeling the bursting effect in neuron systems, Math. Notes, 2013, vol. 93, no. 5, pp. 676\u2013690.","journal-title":"Math. Notes"},{"issue":"6","key":"6668_CR18","doi-asserted-by":"crossref","first-page":"179","DOI":"10.18255\/1818-1015-2013-6-179-199","volume":"20","author":"S.D. Glyzin","year":"2013","unstructured":"Glyzin, S.D. and Marushkina, E.A., Relaxation cycles in a generalized neuron model with two delays, Model. Anal. Inf. Syst., 2013, vol. 20, no. 6, pp. 179\u2013199.","journal-title":"Model. Anal. Inf. Syst."},{"issue":"3","key":"6668_CR19","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1016\/S0006-3495(85)83926-6","volume":"47","author":"T.R. Chay","year":"1985","unstructured":"Chay, T.R. and Rinzel, J., Bursting, beating, and chaos in an excitable membrane model, Biophys. J., 1985, vol. 47, no. 3, pp. 357\u2013366.","journal-title":"Biophys. J."},{"issue":"2","key":"6668_CR20","doi-asserted-by":"publisher","first-page":"233","DOI":"10.1137\/0146017","volume":"46","author":"G.B. Ermentrout","year":"1986","unstructured":"Ermentrout, G.B. and Kopell, N., Parabolic bursting in an excitable system coupled with a slow oscillation, SIAM J. Appl. Math., 1986, vol. 46, no. 2, pp. 233\u2013253.","journal-title":"SIAM J. Appl. Math."},{"issue":"6","key":"6668_CR21","doi-asserted-by":"publisher","first-page":"1171","DOI":"10.1142\/S0218127400000840","volume":"10","author":"E. Izhikevich","year":"2000","unstructured":"Izhikevich, E., Neural excitability, spiking and bursting, Int. J. Bifurcation Chaos, 2000, vol. 10, no. 6, pp. 1171\u20131266.","journal-title":"Int. J. Bifurcation Chaos"},{"key":"6668_CR22","doi-asserted-by":"publisher","first-page":"1213","DOI":"10.1103\/RevModPhys.78.1213","volume":"78","author":"M.I. Rabinovich","year":"2006","unstructured":"Rabinovich, M.I., Varona, P., Selverston, A.I., and Abarbanel, H.D.I., Dynamical principles in neuroscience, Rev. Mod. Phys., 2006, vol. 78, pp. 1213\u20131265.","journal-title":"Rev. Mod. Phys."},{"key":"6668_CR23","doi-asserted-by":"publisher","DOI":"10.1142\/5944","volume-title":"Bursting: The Genesis of Rhythm in the Nervous System","author":"S. Coombes","year":"2005","unstructured":"Coombes, S. and Bressloff, P.C., Bursting: The Genesis of Rhythm in the Nervous System, World Scientific Publishing Company, 2005."}],"container-title":["Automatic Control and Computer Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/article\/10.3103\/S0146411617070082","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.3103\/S0146411617070082.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.3103\/S0146411617070082.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T22:06:33Z","timestamp":1773612393000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.3103\/S0146411617070082"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,12]]},"references-count":23,"journal-issue":{"issue":"7","published-print":{"date-parts":[[2017,12]]}},"alternative-id":["6668"],"URL":"https:\/\/doi.org\/10.3103\/s0146411617070082","relation":{},"ISSN":["0146-4116","1558-108X"],"issn-type":[{"value":"0146-4116","type":"print"},{"value":"1558-108X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,12]]},"assertion":[{"value":"25 October 2016","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 February 2018","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}