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Article: Localized modes in a two-degree-coupling periodic system with a nonlinear disordered subsystem

TitleLocalized modes in a two-degree-coupling periodic system with a nonlinear disordered subsystem
Authors
Cai, CWChan, HCCheung, YK
Issue Date2000
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/chaos
Citation
Chaos, Solitons And Fractals, 2000, v. 11 n. 10, p. 1481-1492 How to Cite?
DOI: http://dx.doi.org/10.1016/S0960-0779(99)00072-7
AbstractThe localized modes in a two-degree-coupling periodic system with infinite number of subsystems and having one nonlinear disorder are analyzed by using the Lindstedt-Poincare (LP) method. The governing equation with the standard form in which the linear terms are uncoupled for subsystems, is derived by using the U-transformation technique. Three types of localized modes, i.e., symmetric, anti-symmetric and asymmetric modes, are found by the LP method. It is shown that the nondimensional parameter η (i.e., (16kc/3γ0)Amax -2) controls the type, number, stability and localized level of the modes.
Persistent Identifierhttp://hdl.handle.net/10722/70605
ISSN
0960-0779
2021 Impact Factor: 9.922
2020 SCImago Journal Rankings: 1.043
ISI Accession Number ID
WOS:000086601900002
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorCai, CWen_HK
dc.contributor.authorChan, HCen_HK
dc.contributor.authorCheung, YKen_HK
dc.date.accessioned2010-09-06T06:24:29Z-
dc.date.available2010-09-06T06:24:29Z-
dc.date.issued2000en_HK
dc.identifier.citationChaos, Solitons And Fractals, 2000, v. 11 n. 10, p. 1481-1492en_HK
dc.identifier.issn0960-0779en_HK
dc.identifier.urihttp://hdl.handle.net/10722/70605-
dc.description.abstractThe localized modes in a two-degree-coupling periodic system with infinite number of subsystems and having one nonlinear disorder are analyzed by using the Lindstedt-Poincare (LP) method. The governing equation with the standard form in which the linear terms are uncoupled for subsystems, is derived by using the U-transformation technique. Three types of localized modes, i.e., symmetric, anti-symmetric and asymmetric modes, are found by the LP method. It is shown that the nondimensional parameter η (i.e., (16kc/3γ0)Amax -2) controls the type, number, stability and localized level of the modes.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.titleLocalized modes in a two-degree-coupling periodic system with a nonlinear disordered subsystemen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0960-0779&volume=11&spage=1481 &epage= 1492&date=2000&atitle=Localized+modes+in+a+two-degree-coupling+periodic+system+with+a+nonlinear+disordered+subsystemen_HK
dc.identifier.emailCheung, YK:hreccyk@hkucc.hku.hken_HK
dc.identifier.authorityCheung, YK=rp00104en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/S0960-0779(99)00072-7en_HK
dc.identifier.scopuseid_2-s2.0-0033872671en_HK
dc.identifier.hkuros56584en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0033872671&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume11en_HK
dc.identifier.issue10en_HK
dc.identifier.spage1481en_HK
dc.identifier.epage1492en_HK
dc.identifier.isiWOS:000086601900002-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridCai, CW=7202874053en_HK
dc.identifier.scopusauthoridChan, HC=7403402425en_HK
dc.identifier.scopusauthoridCheung, YK=7202111065en_HK
dc.identifier.issnl0960-0779-

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