{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T20:09:03Z","timestamp":1649102943719},"reference-count":24,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2004,5]]},"abstract":"<jats:p>We studied multistable oscillatory states of a small neural network model and switching of an oscillatory mode. In the present neural network model, two pacemaker neurons are reciprocally inhibited with conduction delay; one pacemaker neuron inhibits the other via an inhibitory nonpacemaker interneuron, and vice versa. The small network model shows bifurcations from quasi-periodic oscillation to chaos via period 3 with increase in the synaptic weight of the reciprocal inhibition. The route to chaos in the network model is different from that in the single pacemaker neuron. The network model exhibits several multistable states. In a regime of a weak inhibitory connection, in-phase beat, out-of-phase beat (period 3), and chaotic oscillation coexist at the multistable state. We can switch an oscillatory mode by an excitatory synaptic input to one of the pacemaker neurons through an afferent path. In a strong inhibitory connection regime, in-phase beat and out-of-phase beat (period 4) coexist at the multistable state. An excitatory synaptic input through the afferent path leads to the transition from the in-phase beat to the out-of-phase beat. The transition from the out-of-phase beat to the in-phase beat is induced by an inhibitory synaptic input via interneurons. A conduction delay, furthermore, causes the spontaneous transition from the in-phase beat to the out-of-phase beat. These transitions can be explained by phase response curves.<\/jats:p>","DOI":"10.1142\/s0218127404010138","type":"journal-article","created":{"date-parts":[[2004,6,18]],"date-time":"2004-06-18T09:34:05Z","timestamp":1087551245000},"page":"1559-1575","source":"Crossref","is-referenced-by-count":4,"title":["PHASE DEPENDENT TRANSITION BETWEEN MULTISTABLE STATES IN A NEURAL NETWORK WITH RECIPROCAL INHIBITION"],"prefix":"10.1142","volume":"14","author":[{"given":"KATSUMI","family":"TATENO","sequence":"first","affiliation":[{"name":"Graduate School of Life Science and Systems Engineering, Kyushu Institute of Technology, 2-4 Hibikino, Wakamatsu, Kitakyushu, 808-0196, Japan"}]},{"given":"HIDEYUKI","family":"TOMONARI","sequence":"additional","affiliation":[{"name":"Department of Computer Science and Electronics, Kyushu Institute of Technology, 2-4 Hibikino, Wakamatsu, Kitakyushu, 808-0196, Japan"}]},{"given":"HATSUO","family":"HAYASHI","sequence":"additional","affiliation":[{"name":"Graduate School of Life Science and Systems Engineering, Kyushu Institute of Technology, 2-4 Hibikino, Wakamatsu, Kitakyushu, 808-0196, Japan"}]},{"given":"SATORU","family":"ISHIZUKA","sequence":"additional","affiliation":[{"name":"Graduate School of Life Science and Systems Engineering, Kyushu Institute of Technology, 2-4 Hibikino, Wakamatsu, Kitakyushu, 808-0196, Japan"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00203002"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1152\/jn.1993.69.6.2252"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1111\/j.1469-7793.2000.00485.x"},{"key":"rf5","volume-title":"The Structure of Attractors in Dynamical Systems","author":"Curry J.","year":"1977"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1007\/s004220050501"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.76.708"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.55.4536"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1152\/jn.2000.84.2.975"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.29.1348"},{"key":"rf11","doi-asserted-by":"crossref","unstructured":"L.\u00a0Glass and M.\u00a0Mackey, From Clocks to Chaos: The Rhythms of Life (Princeton University Press, Princeton, 1988)\u00a0pp. 98\u2013118.","DOI":"10.1515\/9780691221793"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1007\/BF00204201"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-5193(05)80676-9"},{"key":"rf14","first-page":"441","volume":"68","author":"Kirillov A. 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