{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T18:26:43Z","timestamp":1778610403429,"version":"3.51.4"},"reference-count":14,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2006,9]]},"abstract":"<jats:p> The so-called bottleneck or ghost can appear after a saddle-node bifurcation, leaving a region in phase space by which the flow is attracted although no fixed points are present. Such ghosts, displayed by some dynamical systems, actually cause a delay of the flow. In this paper, we analyze a saddle-node ghost found in a biological model for the two-member hypercycle dynamics. The model predicts a scaling law of the dynamic delay caused by the ghost near the threshold: \u03c4 ~ \u03d5<jats:sup>-1\/2<\/jats:sup>, consistent with previous results in physical systems. Possible biological meanings for such a dynamical phenomenon are outlined. <\/jats:p>","DOI":"10.1142\/s0218127406016446","type":"journal-article","created":{"date-parts":[[2006,11,24]],"date-time":"2006-11-24T11:27:06Z","timestamp":1164367626000},"page":"2761-2765","source":"Crossref","is-referenced-by-count":37,"title":["GHOSTS IN THE ORIGINS OF LIFE?"],"prefix":"10.1142","volume":"16","author":[{"given":"JOSEP","family":"SARDANY\u00c9S","sequence":"first","affiliation":[{"name":"Complex Systems Lab (ICREA-UPF), Barcelona Biomedical Research Park (PRBB-GRIB), Dr. Aiguader 88, 08003 Barcelona, Spain"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"RICARD V.","family":"SOL\u00c9","sequence":"additional","affiliation":[{"name":"Complex Systems Lab (ICREA-UPF), Barcelona Biomedical Research Park (PRBB-GRIB), Dr. Aiguader 88, 08003 Barcelona, Spain"},{"name":"Santa Fe Institute, 1399 Hyde Park Road, Santa Fe NM 87501, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.39.3672"},{"key":"rf2","volume-title":"The Hypercycle. A Principle of Natural Self-Organization","author":"Eigen M.","year":"1979"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1063\/1.1662740"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1063\/1.1753990"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/BF02460889"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1006\/jtbi.1993.1207"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1063\/1.1661391"},{"key":"rf8","unstructured":"G. W.\u00a0Rowe, Theoretical Models in Biology: The Origins of Life, the Immune System and the Brain (Oxford University Press, 1997)\u00a0pp. 82\u2013101."},{"key":"rf9","author":"Sardany\u00e9s J.","journal-title":"J. Theor. Biol."},{"key":"rf10","first-page":"1","volume":"6","author":"Stadler B. M. R.","journal-title":"Adv. Compl. Syst."},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.40.10501"},{"key":"rf12","volume-title":"Nonlinear Dynamics and Chaos with applications to Physics, Biology, Chemistry, and Engineering","author":"Strogatz S. H.","year":"2000"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1016\/0301-4622(82)87037-3"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1006\/jtbi.1996.0389"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127406016446","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T15:04:43Z","timestamp":1565190283000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127406016446"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,9]]},"references-count":14,"journal-issue":{"issue":"09","published-online":{"date-parts":[[2011,11,20]]},"published-print":{"date-parts":[[2006,9]]}},"alternative-id":["10.1142\/S0218127406016446"],"URL":"https:\/\/doi.org\/10.1142\/s0218127406016446","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,9]]}}}