{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,16]],"date-time":"2026-06-16T18:04:32Z","timestamp":1781633072681,"version":"3.54.5"},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2016,9,12]],"date-time":"2016-09-12T00:00:00Z","timestamp":1473638400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11472009"],"award-info":[{"award-number":["11472009"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Cogn Neurodyn"],"published-print":{"date-parts":[[2017,2]]},"DOI":"10.1007\/s11571-016-9411-3","type":"journal-article","created":{"date-parts":[[2016,9,12]],"date-time":"2016-09-12T17:19:07Z","timestamp":1473700747000},"page":"91-97","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Dynamics of in-phase and anti-phase bursting in the coupled pre-B\u00f6tzinger complex cells"],"prefix":"10.1007","volume":"11","author":[{"given":"Lixia","family":"Duan","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jing","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xi","family":"Chen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Pengcheng","family":"Xiao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yong","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2016,9,12]]},"reference":[{"key":"9411_CR1","doi-asserted-by":"crossref","first-page":"1107","DOI":"10.1137\/050625540","volume":"4","author":"J Best","year":"2005","unstructured":"Best J, Borisyuk A, Rubin J, Terman D, Wechselberger M (2005) The dynamic range of bursting in a model respiratory pacemaker network. SIAM J Appl Dyn Syst 4:1107\u20131139","journal-title":"SIAM J Appl Dyn Syst"},{"key":"9411_CR2","doi-asserted-by":"crossref","first-page":"482","DOI":"10.1016\/j.amc.2014.05.043","volume":"243","author":"QS Bi","year":"2014","unstructured":"Bi QS, Zhang R, Zhang ZD (2014) Bifurcation mechanism of bursting oscillations in parametrically excited dynamical system. Appl Math Comput 243:482\u2013491","journal-title":"Appl Math Comput"},{"key":"9411_CR3","doi-asserted-by":"crossref","first-page":"382","DOI":"10.1152\/jn.1999.82.1.382","volume":"82","author":"RJ Butera","year":"1999","unstructured":"Butera RJ, Rinzel J, Smith JC (1999a) Models of respiratory rhythm generation in the pre-B\u00f6tzinger complex I. Bursting pacemaker neurons. J Neurophysiol 82:382\u2013397","journal-title":"J Neurophysiol"},{"key":"9411_CR4","doi-asserted-by":"crossref","first-page":"398","DOI":"10.1152\/jn.1999.82.1.398","volume":"82","author":"RJ Butera","year":"1999","unstructured":"Butera RJ, Rinzel J, Smith JC (1999b) Models of respiratory rhythm generation in the pre-B\u00f6tzinger complex. II. Populations of coupled pacemaker neurons. J Neurophysiol 82:398\u2013415","journal-title":"J Neurophysiol"},{"key":"9411_CR5","first-page":"1252","volume":"23","author":"RJ Butera","year":"1997","unstructured":"Butera RJ, Smith JC, Rinzel J (1997) Rhythm generation and synchronization in a population of bursting neurons with excitatory synaptic coupling: a model for the respiratory oscillator Kernel. Soc Neurosci Abstr 23:1252","journal-title":"Soc Neurosci Abstr"},{"key":"9411_CR6","doi-asserted-by":"crossref","first-page":"1250114","DOI":"10.1142\/S0218127412501143","volume":"22","author":"LX Duan","year":"2012","unstructured":"Duan LX, Zhai DH, Tang XH (2012) Bursting induced by excitatory synaptic coupling in the pre-B\u00f6tzinger complex. Int J Bifurc Chaos 22:1250114","journal-title":"Int J Bifurc Chaos"},{"key":"9411_CR7","doi-asserted-by":"crossref","first-page":"1566","DOI":"10.1126\/science.286.5444.1566","volume":"286","author":"PA Gray","year":"1999","unstructured":"Gray PA, Rekling JC, Bocchiaro CM, Feldman JL (1999) Modulation of respiratory frequency by peptidergic input to rhythmogenic neurons in the pre-B\u00f6tzinger complex. J Sci 286:1566\u20131568","journal-title":"J Sci"},{"key":"9411_CR8","doi-asserted-by":"crossref","first-page":"1450082","DOI":"10.1142\/S0218127414500825","volume":"24","author":"HG Gu","year":"2014","unstructured":"Gu HG, Xiao WW (2014) Difference between intermittent chaotic bursting and spiking of neural firing patterns. Int J Bifurc Chaos 24:1450082","journal-title":"Int J Bifurc Chaos"},{"key":"9411_CR9","doi-asserted-by":"crossref","first-page":"061905","DOI":"10.1103\/PhysRevE.85.061905","volume":"85","author":"DQ Guo","year":"2012","unstructured":"Guo DQ, Wang QY, Perc M (2012) Complex synchronous behavior in interneuronal networks with delayed inhibitory and fast electrical synapses. Phys Rev E 85:061905","journal-title":"Phys Rev E"},{"key":"9411_CR10","doi-asserted-by":"crossref","first-page":"1171","DOI":"10.1142\/S0218127400000840","volume":"10","author":"EM Izhikevich","year":"2000","unstructured":"Izhikevich EM (2000) Neural excitability, spiking and bursting. Int J Bifurc Chaos 10:1171\u20131266","journal-title":"Int J Bifurc Chaos"},{"key":"9411_CR11","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/s11571-011-9184-7","volume":"6","author":"B Jia","year":"2012","unstructured":"Jia B, Gu HG, Li L, Zhao XY (2012) Dynamics of period-doubling bifurcation to chaos in the spontaneous neural firing patterns. Cognit Neurodyn 6:89\u2013106","journal-title":"Cognit Neurodyn"},{"key":"9411_CR12","volume-title":"Elements of applied bifurcation theory","author":"YA Kuznetsov","year":"2005","unstructured":"Kuznetsov YA (2005) Elements of applied bifurcation theory. Springer, New York"},{"key":"9411_CR13","doi-asserted-by":"crossref","first-page":"432","DOI":"10.1016\/S0009-2614(03)00868-6","volume":"376","author":"M Perc","year":"2003","unstructured":"Perc M, Marhl M (2003) Resonance effects determine the frequency of bursting Ca2+ oscillations. Chem Phys Lett 376:432\u2013437","journal-title":"Chem Phys Lett"},{"key":"9411_CR14","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.bioelechem.2003.07.009","volume":"62","author":"M Perc","year":"2004","unstructured":"Perc M, Marhl M (2004a) Local dissipation and coupling properties of cellular oscillators: a case study on calcium oscillations. Bioelectrochemistry 62:1\u201310","journal-title":"Bioelectrochemistry"},{"key":"9411_CR15","doi-asserted-by":"crossref","first-page":"2735","DOI":"10.1142\/S0218127404010849","volume":"14","author":"M Perc","year":"2004","unstructured":"Perc M, Marhl M (2004b) Synchronization of regular and chaotic oscillations: the role of local divergence and the slow passage effect. Int J Bifurc Chaos 14:2735\u20132751","journal-title":"Int J Bifurc Chaos"},{"key":"9411_CR16","doi-asserted-by":"crossref","first-page":"759","DOI":"10.1016\/S0960-0779(03)00027-4","volume":"18","author":"M Perc","year":"2007","unstructured":"Perc M, Marhl M (2007) Different types of bursting calcium oscillations in non-excitable cells. Chaos Solitons Fract 18:759\u2013773","journal-title":"Chaos Solitons Fract"},{"key":"9411_CR17","doi-asserted-by":"crossref","first-page":"143","DOI":"10.1016\/j.cplett.2007.02.003","volume":"437","author":"M Perc","year":"2007","unstructured":"Perc M, Marko G, Marhl M (2007) Periodic calcium waves in coupled cells induced by internal noise. Chem Phys Lett 437:143\u2013147","journal-title":"Chem Phys Lett"},{"key":"9411_CR18","doi-asserted-by":"crossref","first-page":"304","DOI":"10.1007\/BFb0074739","volume-title":"Bursting oscillations in an excitable membrane model. Ordinary and partial differential equations","author":"J Rinzel","year":"1985","unstructured":"Rinzel J (1985) Bursting oscillations in an excitable membrane model. Ordinary and partial differential equations. Springer, Berlin, pp 304\u2013316"},{"key":"9411_CR19","doi-asserted-by":"crossref","first-page":"021917","DOI":"10.1103\/PhysRevE.74.021917","volume":"74","author":"J Rubin","year":"2006","unstructured":"Rubin J (2006) Bursting induced by excitatory synaptic coupling in non-identical conditional relaxation oscillators or square-wave burster. Phys Rev E 74:021917","journal-title":"Phys Rev E"},{"key":"9411_CR20","doi-asserted-by":"crossref","first-page":"2146","DOI":"10.1152\/jn.90958.2008","volume":"101","author":"JE Rubin","year":"2009","unstructured":"Rubin JE, Shevtsova NA, Ermentrout GB et al (2009) Multiple rhythmic states in a model of the respiratory central pattern generator. J Neurophys 101:2146\u20132165","journal-title":"J Neurophys"},{"key":"9411_CR21","doi-asserted-by":"crossref","first-page":"726","DOI":"10.1126\/science.1683005","volume":"254","author":"JC Smith","year":"1991","unstructured":"Smith JC, Ellenberger HH, Ballanyi K, Richter DW, Feldman JL (1991) Pre-Botzinger complex: a brainstem region that may generate respiratory rhythm in mammals. J Sci 254:726\u2013729","journal-title":"J Sci"},{"key":"9411_CR22","doi-asserted-by":"crossref","first-page":"016110","DOI":"10.1063\/1.3559136","volume":"21","author":"XJ Sun","year":"2011","unstructured":"Sun XJ, Lei JZ, Perc M, Kurths J, Chen GR (2011) Burst synchronization transitions in a neuronal network of sub-networks. Chaos 21:016110","journal-title":"Chaos"},{"key":"9411_CR23","doi-asserted-by":"crossref","first-page":"e15851","DOI":"10.1371\/journal.pone.0015851","volume":"6","author":"QY Wang","year":"2011","unstructured":"Wang QY, Chen GR, Perc M (2011) Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling. PLoS ONE 6:e15851","journal-title":"PLoS ONE"},{"key":"9411_CR24","first-page":"1189C1198","volume":"18","author":"QY Wang","year":"2008","unstructured":"Wang QY, Lu QS (2008) Synchronization transition induced by synaptic delay in coupled fast-spiking neurons. Int J Bifurc Chaos 18:1189C1198","journal-title":"Int J Bifurc Chaos"}],"container-title":["Cognitive Neurodynamics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11571-016-9411-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11571-016-9411-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11571-016-9411-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,25]],"date-time":"2020-09-25T23:43:57Z","timestamp":1601077437000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11571-016-9411-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,9,12]]},"references-count":24,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2017,2]]}},"alternative-id":["9411"],"URL":"https:\/\/doi.org\/10.1007\/s11571-016-9411-3","relation":{},"ISSN":["1871-4080","1871-4099"],"issn-type":[{"value":"1871-4080","type":"print"},{"value":"1871-4099","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,9,12]]}}}