{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T14:05:57Z","timestamp":1772287557150,"version":"3.50.1"},"reference-count":41,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2003,3,1]],"date-time":"2003-03-01T00:00:00Z","timestamp":1046476800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2003,3,1]],"date-time":"2003-03-01T00:00:00Z","timestamp":1046476800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Comput Neurosci"],"published-print":{"date-parts":[[2003,3]]},"DOI":"10.1023\/a:1021902717424","type":"journal-article","created":{"date-parts":[[2003,3,21]],"date-time":"2003-03-21T23:56:29Z","timestamp":1048290989000},"page":"139-159","source":"Crossref","is-referenced-by-count":20,"title":["Clustering in Small Networks of Excitatory Neurons with Heterogeneous Coupling Strengths"],"prefix":"10.1007","volume":"14","author":[{"given":"Yue-Xian","family":"Li","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yu-qing","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Robert","family":"Miura","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"5113304_CR1","doi-asserted-by":"crossref","first-page":"291","DOI":"10.1017\/S0033583500003024","volume":"27","author":"LF Abbott","year":"1994","unstructured":"Abbott LF (1994) Decoding neuronal firing and modeling neural networks. Quarterly Review of Biophysics 27: 291-331.","journal-title":"Quarterly Review of Biophysics"},{"key":"5113304_CR2","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/S0167-2789(98)00082-7","volume":"118","author":"CC Chow","year":"1998","unstructured":"Chow CC (1998) Phase-locking in weakly heterogeneous neural networks. Physica D 118: 343-370.","journal-title":"Physica D"},{"key":"5113304_CR3","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1007\/BF02429870","volume":"3","author":"JJ Collins","year":"1993","unstructured":"Collins JJ, Stewart IN (1993) Coupled nonlinear oscillators and the symmetries of animal gaits. J. Nonlinear Sci. 3: 349-392.","journal-title":"J. Nonlinear Sci."},{"key":"5113304_CR4","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1137\/0515019","volume":"15","author":"B Ermentrout","year":"1984","unstructured":"Ermentrout B, Kopell N (1984) Frequency plateaus in a chain of weakly coupled oscillators. SIAM J. Math. Anal. 15: 215-237.","journal-title":"SIAM J. Math. Anal."},{"key":"5113304_CR5","doi-asserted-by":"crossref","first-page":"2150","DOI":"10.1103\/PhysRevE.57.2150","volume":"57","author":"U Ernst","year":"1998","unstructured":"Ernst U, Pawelzik K, Geisel T (1998) Delay-induced multistable sunchronization of biological oscillators. Phys. Rev. E 57: 2150-2162.","journal-title":"Phys. Rev. E"},{"key":"5113304_CR6","volume-title":"The Rhythm of Life","author":"L Glass","year":"1988","unstructured":"Glass L, Mackey MC (1988) From Clocks to Chaos. The Rhythm of Life. Princeton University Press, New Jersey."},{"key":"5113304_CR7","doi-asserted-by":"crossref","first-page":"3516","DOI":"10.1103\/PhysRevA.45.3516","volume":"45","author":"D Golomb","year":"1992","unstructured":"Golomb D, Hansel D, Shraiman B, Sompolinsky H (1992) Clustering in globally coupled phase oscillators. Phys. Rev. A 45: 3516-3530.","journal-title":"Phys. Rev. A"},{"key":"5113304_CR8","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1016\/0167-2789(94)90214-3","volume":"72","author":"D Golomb","year":"1994","unstructured":"Golomb D, Rinzel J (1994) Clustering in globally coupled inhibitory neurons. Physica D 72: 259-282.","journal-title":"Physica D"},{"key":"5113304_CR9","doi-asserted-by":"crossref","first-page":"1109","DOI":"10.1152\/jn.1994.72.3.1109","volume":"72","author":"D Golomb","year":"1994","unstructured":"Golomb D, Wang XJ, Rinzel J (1994) Synchronization properties of spindle oscillations in a thalamic reticular nucleus. J. Neurophysiol. 72: 1109-1126.","journal-title":"J. Neurophysiol."},{"key":"5113304_CR10","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1016\/S0167-2789(97)00222-4","volume":"115","author":"M Golubitsky","year":"1998","unstructured":"Golubitsky M, Steward I, Buono P-L, Collins JJ (1998) A modular network for legged locomotion. Physica D 115: 56-72.","journal-title":"Physica D"},{"key":"5113304_CR11","doi-asserted-by":"crossref","first-page":"693","DOI":"10.1038\/44416","volume":"401","author":"M Golubitsky","year":"1999","unstructured":"Golubitsky M, Steward I, Buono P-L, Collins JJ (1999) Symmetry in locomotor central pattern generators and animal gaits. Nature 401: 693-695.","journal-title":"Nature"},{"key":"5113304_CR12","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1007\/BF00962716","volume":"1","author":"CM Gray","year":"1994","unstructured":"Gray CM (1994) Synchronous oscillations in neuronal systems: Mechanisms and functions. J. Comput. Neurosci. 1: 11-38.","journal-title":"J. Comput. Neurosci."},{"key":"5113304_CR13","doi-asserted-by":"crossref","first-page":"334","DOI":"10.1038\/338334a0","volume":"338","author":"CM Gray","year":"1989","unstructured":"Gray CM, Konig P, Engel AK, Singer W (1989) Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature 338: 334-337.","journal-title":"Nature"},{"key":"5113304_CR14","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1152\/physrev.1975.55.2.247","volume":"55","author":"S Grillner","year":"1975","unstructured":"Grillner S (1975) Locomotion in vertebrates: Central mechanisms and reflex interaction. Physiol. Rev. 55: 247-392.","journal-title":"Physiol. Rev."},{"key":"5113304_CR15","doi-asserted-by":"crossref","first-page":"1321","DOI":"10.1152\/jn.1982.48.6.1321","volume":"48","author":"MJ Gutnick","year":"1982","unstructured":"Gutnick MJ, Connors BW, Prince DA (1982) Mechanisms of neocortical epileptogenesis in vitro. J. Neurophysiol. 48: 1321-1335.","journal-title":"J. Neurophysiol."},{"key":"5113304_CR16","doi-asserted-by":"crossref","first-page":"307","DOI":"10.1162\/neco.1995.7.2.307","volume":"7","author":"D Hansel","year":"1995","unstructured":"Hansel D, Mato G, Neunier C (1995) Synchrony in excitatory neural networks. Neural Comp. 7: 307-337.","journal-title":"Neural Comp."},{"key":"5113304_CR17","doi-asserted-by":"crossref","first-page":"3088","DOI":"10.1073\/pnas.81.10.3088","volume":"81","author":"JJ Hopfield","year":"1984","unstructured":"Hopfield JJ (1984) Neurons with graded response have collective computational properties like those of two-state neurons. Proc. Natl. Acad. Sci. USA 81: 3088-2092.","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"5113304_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/b98841","volume-title":"Mathematical Physiology","author":"J Keener","year":"1998","unstructured":"Keener J, Sneyd J (1998) Mathematical Physiology. Springer, New York."},{"key":"5113304_CR19","first-page":"42","volume":"2","author":"E Knobil","year":"1987","unstructured":"Knobil E (1987) A hypothalamic pulse generator governs mammalian reproduction. News Physiol. Sci. 2: 42-43.","journal-title":"News Physiol. Sci."},{"key":"5113304_CR20","doi-asserted-by":"crossref","first-page":"1867","DOI":"10.1073\/pnas.97.4.1867","volume":"97","author":"N Kopell","year":"2000","unstructured":"Kopell N, Ermentrout GB, Whittington MA, Traub RD (2000) Gamma rhythms and beta rhythms have different synchronization properties. Proc. Natl. Acad. Sci. USA 97: 1867-1872.","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"5113304_CR21","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-69689-3","volume-title":"Chemical Oscillations, Waves and Turbulence","author":"Y Kuramoto","year":"1984","unstructured":"Kuramoto Y (1984) Chemical Oscillations, Waves and Turbulence. Springer, New York."},{"key":"5113304_CR22","volume-title":"Pulsatility in Neuroendocrine Systems","author":"G Leng","year":"1988","unstructured":"Leng G (1988) Pulsatility in Neuroendocrine Systems. CRC Press, Boca Raton, Florida."},{"key":"5113304_CR23","doi-asserted-by":"crossref","first-page":"1059","DOI":"10.1152\/jn.1991.66.3.1059","volume":"66","author":"WW Lytton","year":"1991","unstructured":"Lytton WW, Sejnowski TJ (1991) Simulations of cortical pyramidal neurons synchronized by inhibitory interneurons. J. Neurophysiol. 66: 1059-1079.","journal-title":"J. Neurophysiol."},{"key":"5113304_CR24","doi-asserted-by":"crossref","first-page":"1645","DOI":"10.1137\/0150098","volume":"50","author":"RE Mirollo","year":"1990","unstructured":"Mirollo RE, Strogatz SH (1990) Sychronization of pulse-coupled biological oscillators. SIAM J. Math. Anal. 50: 1645-1662.","journal-title":"SIAM J. Math. Anal."},{"key":"5113304_CR25","doi-asserted-by":"crossref","first-page":"8430","DOI":"10.1103\/PhysRevA.45.8430","volume":"45","author":"S Nichols","year":"1992","unstructured":"Nichols S, Wiesenfeld K (1992) Ubiquitous neutral stability of splayphase states. Phys. Rev. A 45: 8430-8435.","journal-title":"Phys. Rev. A"},{"key":"5113304_CR26","doi-asserted-by":"crossref","first-page":"1353","DOI":"10.1126\/science.7761855","volume":"268","author":"MA Nicolelis","year":"1995","unstructured":"Nicolelis MA, Baccala LA, Lin RC, Chapin JK (1995) Sensorimotor encoding by synchronous neural ensemble activity at multiple levels of the somatosensory system. Science 268: 1353-1358.","journal-title":"Science"},{"key":"5113304_CR27","doi-asserted-by":"crossref","first-page":"7621","DOI":"10.1073\/pnas.94.14.7621","volume":"94","author":"JC Prechtl","year":"1997","unstructured":"Prechtl JC, Cohen LB, Pesaran B, Mitra PP, Kleinfeld D (1997) Visual stimuli induce waves of electrical activity in turtle cortex. Proc. Natl. Acad. Sci. USA 94: 7621-7626.","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"5113304_CR28","doi-asserted-by":"crossref","first-page":"385","DOI":"10.1146\/annurev.physiol.60.1.385","volume":"60","author":"JC Rekling","year":"1998","unstructured":"Rekling JC, Feldman JL (1998) PreBotzinger complex and pacemaker neurons: Hypothesized site and kernel for respiratory rhythm generation. Ann. Rev. Physiol. 60: 385-405.","journal-title":"Ann. Rev. Physiol."},{"key":"5113304_CR29","doi-asserted-by":"crossref","first-page":"2471","DOI":"10.1073\/pnas.89.6.2471","volume":"89","author":"A Sherman","year":"1992","unstructured":"Sherman A, Rinzel J (1992) Rhythmogenic effects of weak eletrotonic coupling in neural models. Proc. Natl. Acad. Sci. USA 89: 2471-2474.","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"5113304_CR30","doi-asserted-by":"crossref","first-page":"56","DOI":"10.1137\/0146006","volume":"46","author":"DW Sortie","year":"1986","unstructured":"Sortie DW, Rand RH (1986) Dynamics of two strongly coupled relaxation oscillators. SIAM J. Math. Anal. 46: 56-67.","journal-title":"SIAM J. Math. Anal."},{"key":"5113304_CR31","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. Science 254: 726-729.","journal-title":"Science"},{"key":"5113304_CR32","doi-asserted-by":"crossref","first-page":"679","DOI":"10.1126\/science.8235588","volume":"262","author":"M Steriade","year":"1993","unstructured":"Steriade M, McCormick DA, Sejnowski TJ (1993) Thalamocortical oscillations in the sleeping and aroused brain. Science 262: 679-685.","journal-title":"Science"},{"key":"5113304_CR33","doi-asserted-by":"crossref","DOI":"10.7551\/mitpress\/2962.001.0001","volume-title":"Fast Oscillations in Cortical Circuits","author":"RD Traub","year":"1999","unstructured":"Traub RD, Jeffreys JGR, Whittington MA (1999) Fast Oscillations in Cortical Circuits. MIT Press, Cambridge."},{"key":"5113304_CR34","doi-asserted-by":"crossref","first-page":"5522","DOI":"10.1103\/PhysRevE.54.5522","volume":"54","author":"C Van Vreeswijk","year":"1996","unstructured":"Van Vreeswijk C (1996) Partial synchronization in populations of pulse coupled oscillators. Phys. Rev. E 54: 5522-5537.","journal-title":"Phys. Rev. E"},{"key":"5113304_CR35","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1007\/BF00961879","volume":"1","author":"C Van Vreeswijk","year":"1994","unstructured":"Van Vreeswijk C, Abbott LF, Ermentrout B (1994) When inhibition not excitation synchronizes neural firing. J. Comput. Neurosci. 1: 313-321.","journal-title":"J. Comput. Neurosci."},{"key":"5113304_CR36","doi-asserted-by":"crossref","first-page":"6402","DOI":"10.1523\/JNEUROSCI.16-20-06402.1996","volume":"16","author":"XJ Wang","year":"1996","unstructured":"Wang XJ, Buzsaki G (1996) Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model. J. Neurosci. 16: 6402-6413.","journal-title":"J. Neurosci."},{"key":"5113304_CR37","doi-asserted-by":"crossref","first-page":"84","DOI":"10.1162\/neco.1992.4.1.84","volume":"4","author":"XJ Wang","year":"1992","unstructured":"Wang XJ, Rinzel J (1992) Alternating and synchronous rhythms in reciprocally inhibitory model neurons. Neural Comp. 4: 84-97.","journal-title":"Neural Comp."},{"key":"5113304_CR38","doi-asserted-by":"crossref","unstructured":"Wang YQ, Wang ZD, Li YX, Pei X (2002) Synchronous phase clustering in a network of neurons with spatially decaying excitatory coupling. In press.","DOI":"10.1143\/JPSJ.72.443"},{"key":"5113304_CR39","doi-asserted-by":"crossref","first-page":"12198","DOI":"10.1073\/pnas.94.22.12198","volume":"94","author":"MA Whittington","year":"1997","unstructured":"Whittington MA, Traub RD, Faulkner HJ, Stanford IM, Jefferys JG (1997) Recurrent excitatory postsynaptic potentials induced by synchronized fast cortical oscillations. Proc. Natl. Acad. Sci. USA 94: 12198-121203.","journal-title":"Proc. Natl. Acad. Sci. USA"},{"key":"5113304_CR40","doi-asserted-by":"crossref","first-page":"862","DOI":"10.1152\/jn.1990.64.3.862","volume":"64","author":"TL Williams","year":"1990","unstructured":"Williams TL, Sigvardt KA, Kopell N, Ermentrout GB, Remler M (1990) Forcing of coupled nonlinear oscillators: Studies of intersegmental coordination in the lamprey locomotor central pattern generator. J. Neurophysiol. 64: 862-871.","journal-title":"J. Neurophysiol."},{"key":"5113304_CR41","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/0022-5193(67)90051-3","volume":"16","author":"A Winfree","year":"1967","unstructured":"Winfree A (1967) Biological rhythms and the behavior of populations of coupled oscillators. J. Theor. Biol. 16: 15-42.","journal-title":"J. Theor. Biol."}],"container-title":["Journal of Computational Neuroscience"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1021902717424.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1021902717424\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1021902717424.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,6]],"date-time":"2025-06-06T09:30:02Z","timestamp":1749202202000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1021902717424"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,3]]},"references-count":41,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2003,3]]}},"alternative-id":["5113304"],"URL":"https:\/\/doi.org\/10.1023\/a:1021902717424","relation":{},"ISSN":["0929-5313","1573-6873"],"issn-type":[{"value":"0929-5313","type":"print"},{"value":"1573-6873","type":"electronic"}],"subject":[],"published":{"date-parts":[[2003,3]]}}}