{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,16]],"date-time":"2026-01-16T13:20:24Z","timestamp":1768569624963,"version":"3.49.0"},"reference-count":23,"publisher":"World Scientific Pub Co Pte Lt","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,11]]},"abstract":"<jats:p> Origin of chaos in a simple two-dimensional map model replicating the spiking and spiking-bursting activity of real biological neurons is studied. The map contains one fast and one slow variable. Individual dynamics of a fast subsystem of the map is characterized by two types of possible attractors: stable fixed point (replicating silence) and superstable limit cycle (replicating spikes). Coupling this subsystem with the slow subsystem leads to the generation of periodic or chaotic spiking-bursting behavior. We study the bifurcation scenarios which reveal the dynamical mechanisms that lead to chaos at alternating silence and spiking phases. <\/jats:p>","DOI":"10.1142\/s0218127403008521","type":"journal-article","created":{"date-parts":[[2003,12,18]],"date-time":"2003-12-18T04:02:05Z","timestamp":1071720125000},"page":"3325-3340","source":"Crossref","is-referenced-by-count":110,"title":["ORIGIN OF CHAOS IN A TWO-DIMENSIONAL MAP MODELING SPIKING-BURSTING NEURAL ACTIVITY"],"prefix":"10.1142","volume":"13","author":[{"given":"ANDREY L.","family":"SHILNIKOV","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics, Georgia State University, Atlanta, GA 30303-3083, USA"}]},{"given":"NIKOLAI F.","family":"RULKOV","sequence":"additional","affiliation":[{"name":"Institute for Nonlinear Science, University of California at San Diego, La Jolla, CA 92093, USA"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1070\/PU1996v039n04ABEH000141"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-57884-7"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/s101890070012"},{"key":"rf4","doi-asserted-by":"crossref","first-page":"332","DOI":"10.1152\/jn.1992.67.2.332","volume":"67","author":"Buchholtz F.","journal-title":"J. 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