{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,4]],"date-time":"2022-04-04T01:49:49Z","timestamp":1649036989539},"reference-count":20,"publisher":"World Scientific Pub Co Pte Lt","issue":"12","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2007,12]]},"abstract":"<jats:p> Some new insights into the anti-phase synchronization of a network of inhibitorily coupled neurons are presented by means of qualitative analysis and numerical simulation. The network, which satisfies three significant conditions, gives rise to typical anti-phase synchronous solutions. By using the geometric method of dynamical systems, each corresponding reduced network model is analyzed, and a special and important parameter region, called P*-jumping up region, is identified. In terms of some basic properties of the P*-jumping up region, two conditions for the neuron states to enter this region are given. These conditions can be satisfied by adjusting a parameter K that controls the decay speed of the inhibitory coupling. Furthermore, it is concluded that if the parameter K is chosen so as to satisfy the two conditions, then two neurons will achieve anti-phase synchronous oscillation, independent of the initial conditions. <\/jats:p>","DOI":"10.1142\/s0218127407020002","type":"journal-article","created":{"date-parts":[[2008,3,11]],"date-time":"2008-03-11T14:35:40Z","timestamp":1205246140000},"page":"4355-4364","source":"Crossref","is-referenced-by-count":3,"title":["ANTI-PHASE SYNCHRONIZATION OF INHIBITORILY COUPLED NEURONS"],"prefix":"10.1142","volume":"17","author":[{"given":"XIA","family":"SHI","sequence":"first","affiliation":[{"name":"School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, P. R. 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