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CHAOTIC VIBRATIONS OF THE ONE-DIMENSIONAL MIXED WAVE SYSTEM

dc.citation.epage590en_US
dc.citation.issue2en_US
dc.citation.spage579en_US
dc.citation.volume19en_US
dc.citation.woscount3
dc.contributor.authorHu, Chung-Cheen_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.date.accessioned2014-12-08T15:10:05Z
dc.date.available2014-12-08T15:10:05Z
dc.date.issued2009-02-01en_US
dc.description.abstractIn this paper, we consider the initial-boundary value problem of the one-dimensional linear mixed wave equation omega(tt) - d omega(tx) - c(2)omega(xx) = 0 (d is an element of R, c > 0) on an interval, where the boundary condition at the left endpoint is linear, pumping energy into the system, while the boundary condition at the right endpoint has odd-degree nonlinearity. This problem is said to be the one-dimensional mixed wave system. The solution of the one-dimensional mixed wave system corresponds to the iteration of an interval map h. Thus, the mixed wave system is said to be chaotic if the interval map h is chaotic in the sense of Li-Yorke. In this paper, we show that the mixed wave system is chaotic under some conditions.en_US
dc.identifier.doi10.1142/S0218127409023202en_US
dc.identifier.issn0218-1274en_US
dc.identifier.journalINTERNATIONAL JOURNAL OF BIFURCATION AND CHAOSen_US
dc.identifier.urihttp://dx.doi.org/10.1142/S0218127409023202en_US
dc.identifier.urihttps://ir.lib.nycu.edu.tw/handle/11536/7694
dc.identifier.wosnumberWOS:000265940900008
dc.language.isoen_USen_US
dc.subjectChaotic vibrationsen_US
dc.subjectmixed wave systemen_US
dc.titleCHAOTIC VIBRATIONS OF THE ONE-DIMENSIONAL MIXED WAVE SYSTEMen_US
dc.typeArticleen_US

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