{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T14:11:01Z","timestamp":1772287861417,"version":"3.50.1"},"reference-count":23,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2007,3]]},"abstract":"<jats:p> We investigated a choice of prototypical double-scroll attractors, namely trajectories resulting from Lorenz equations and from two sets of equations related to Chua's circuits. We found that the probability distribution for the residence times within a given scroll consists of prominent, exponentially decaying peaks. Similar peaks had been reported for stochastically resonant systems, which are driven periodically; however, in view of our results in autonomous systems, the appearance of such peaks has a higher degree of generality. In the systems we investigated, each peak corresponds to a subset of the attractor having a particular number of loops. Moreover, the sets of initial conditions leading to different peaks are interleaved in an analogous way as riddled or intermingled basins of attraction. <\/jats:p>","DOI":"10.1142\/s0218127407017720","type":"journal-article","created":{"date-parts":[[2007,5,16]],"date-time":"2007-05-16T00:45:51Z","timestamp":1179276351000},"page":"1007-1015","source":"Crossref","is-referenced-by-count":1,"title":["RESIDENCE TIME DISTRIBUTIONS FOR DOUBLE-SCROLL ATTRACTORS"],"prefix":"10.1142","volume":"17","author":[{"given":"PATRICK","family":"GRETE","sequence":"first","affiliation":[{"name":"Max-Planck-Institut f\u00fcr molekulare Physiologie, Postfach 500247, 44202 Dortmund, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"MARIO","family":"MARKUS","sequence":"additional","affiliation":[{"name":"Max-Planck-Institut f\u00fcr molekulare Physiologie, Postfach 500247, 44202 Dortmund, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.67.056201"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127492000446"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1007\/BF01053962"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.65.015202"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.69.026203"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.95.094101"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(90)90114-5"},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.576"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1109\/81.246150"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.1995.0086"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4371(01)00376-4"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.53.1371"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.60.R6283"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.67.656"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1142\/1997"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1109\/TCS.1985.1085791"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1063\/1.1598311"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1007\/BF01053958"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.71.4134"},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/25\/8\/016"},{"key":"rf22","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127405011990"},{"key":"rf23","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.41.4255"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127407017720","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T23:58:38Z","timestamp":1565135918000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127407017720"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,3]]},"references-count":23,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2007,3]]}},"alternative-id":["10.1142\/S0218127407017720"],"URL":"https:\/\/doi.org\/10.1142\/s0218127407017720","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,3]]}}}