{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,21]],"date-time":"2025-05-21T21:47:39Z","timestamp":1747864059736},"reference-count":2,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2012,2]]},"abstract":"<jats:p> The nonlinear stability analysis of boiling water nuclear reactors (BWRs) is conducted with the aid of so-called advanced, well validated, system codes and an advanced reduced order model to build a detailed mathematical understanding of the BWR behavior in the practical relevant parameter space. In the last years, the existence of Hopf-bifurcation points was confirmed by some researchers. In the framework of this paper, a parameter region was analyzed in which the coexistence of different stability states is realized. As a novel result, we found a parameter region in which stable fixed points, unstable limit cycles and stable limit cycles coexist. This system behavior can be explained by a saddle-node bifurcation of cycles (turning point). The existence of this solution type in a BWR system indicates the possibility of large amplitude limit cycle oscillations in the linear stable region. <\/jats:p>","DOI":"10.1142\/s0218127412500411","type":"journal-article","created":{"date-parts":[[2012,2,21]],"date-time":"2012-02-21T01:38:43Z","timestamp":1329788323000},"page":"1250041","source":"Crossref","is-referenced-by-count":5,"title":["A NOVEL RESULT IN THE FIELD OF NONLINEAR STABILITY ANALYSIS OF BOILING WATER REACTORS"],"prefix":"10.1142","volume":"22","author":[{"given":"CARSTEN","family":"LANGE","sequence":"first","affiliation":[{"name":"Technische Universit\u00e4t Dresden, Institute of Power Engineering, Chair of Hydrogen and Nuclear Energy, 01062 Dresden, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"DIETER","family":"HENNIG","sequence":"additional","affiliation":[{"name":"Technische Universit\u00e4t Dresden, Institute of Power Engineering, Chair of Hydrogen and Nuclear Energy, 01062 Dresden, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"ANTONIO","family":"HURTADO","sequence":"additional","affiliation":[{"name":"Technische Universit\u00e4t Dresden, Institute of Power Engineering, Chair of Hydrogen and Nuclear Energy, 01062 Dresden, Germany"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,4,6]]},"reference":[{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127405013381"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1016\/j.anucene.2007.04.003"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127412500411","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T19:52:54Z","timestamp":1565121174000},"score":1,"resource":{"primary":{"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127412500411"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,2]]},"references-count":2,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2012,4,6]]},"published-print":{"date-parts":[[2012,2]]}},"alternative-id":["10.1142\/S0218127412500411"],"URL":"https:\/\/2.zoppoz.workers.dev:443\/https\/doi.org\/10.1142\/s0218127412500411","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,2]]}}}