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Article: Property of period-doubling bifurcations

TitleProperty of period-doubling bifurcations
Authors
Issue Date2005
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/chaos
Citation
Chaos, Solitons And Fractals, 2005, v. 24 n. 2, p. 527-532 How to Cite?
AbstractThe period-doubling bifurcation leads a T-periodic solution to a 2T-periodic solution. We develop the relation between these two periodic solutions analytically for a general parameter-dependent dynamic system. Such the relation is further confirmed by one example and shows that the 2T-periodic solution contains all the information of the T-periodic solution near the bifurcation point. Therefore we can infer the T-periodic solution from the 2T-periodic solution. Conversely, we may obtain the part of the 2T-periodic solution from the T-periodic solution. The work sheds light on the period-doubling bifurcation and chaos in general, the self-similarity of chaotic solutions in particular, forms a benchmark of numerical accuracy checking and provides new numerical schemes of period-doubling bifurcation detection. © 2004 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/75995
ISSN
2015 Impact Factor: 1.611
2015 SCImago Journal Rankings: 0.679
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWang, Len_HK
dc.contributor.authorXu, Men_HK
dc.date.accessioned2010-09-06T07:16:35Z-
dc.date.available2010-09-06T07:16:35Z-
dc.date.issued2005en_HK
dc.identifier.citationChaos, Solitons And Fractals, 2005, v. 24 n. 2, p. 527-532en_HK
dc.identifier.issn0960-0779en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75995-
dc.description.abstractThe period-doubling bifurcation leads a T-periodic solution to a 2T-periodic solution. We develop the relation between these two periodic solutions analytically for a general parameter-dependent dynamic system. Such the relation is further confirmed by one example and shows that the 2T-periodic solution contains all the information of the T-periodic solution near the bifurcation point. Therefore we can infer the T-periodic solution from the 2T-periodic solution. Conversely, we may obtain the part of the 2T-periodic solution from the T-periodic solution. The work sheds light on the period-doubling bifurcation and chaos in general, the self-similarity of chaotic solutions in particular, forms a benchmark of numerical accuracy checking and provides new numerical schemes of period-doubling bifurcation detection. © 2004 Elsevier Ltd. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/chaosen_HK
dc.relation.ispartofChaos, Solitons and Fractalsen_HK
dc.titleProperty of period-doubling bifurcationsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0960-0779&volume=24&spage=527&epage=532&date=2005&atitle=Property+of+period-doubling+bifurcationsen_HK
dc.identifier.emailWang, L:lqwang@hkucc.hku.hken_HK
dc.identifier.authorityWang, L=rp00184en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.chaos.2004.09.045en_HK
dc.identifier.scopuseid_2-s2.0-10844290389en_HK
dc.identifier.hkuros105871en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-10844290389&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume24en_HK
dc.identifier.issue2en_HK
dc.identifier.spage527en_HK
dc.identifier.epage532en_HK
dc.identifier.isiWOS:000226855200013-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridWang, L=35235288500en_HK
dc.identifier.scopusauthoridXu, M=7403607587en_HK

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