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dc.contributor.authorChang, Ya-Wenen_US
dc.contributor.authorJuang, Jonqen_US
dc.contributor.authorLi, Chin-Lungen_US
dc.date.accessioned2014-12-08T15:13:57Z-
dc.date.available2014-12-08T15:13:57Z-
dc.date.issued2007-06-01en_US
dc.identifier.issn0218-1274en_US
dc.identifier.urihttp://dx.doi.org/10.1142/S0218127407018154en_US
dc.identifier.urihttp://hdl.handle.net/11536/10751-
dc.description.abstractIn 1998, Chen et al. [1998] found an error in Marotto's paper [1978]. It was pointed out by them that the existence of an expanding fixed point z of a map F in Br(z), the ball of radius r with center at z does not necessarily imply that F is expanding in Br( z). Subsequent efforts (see e. g. [Chen et al., 1998; Lin et al., 2002; Li & Chen, 2003]) in. xing the problems have some discrepancies since they only give conditions for which F is expanding "locally". In this paper, we give suficient conditions so that F is "globally" expanding. This, in turn, gives more satisfying definitions of a snap-back repeller. We then use those results to show the existence of chaotic backward traveling waves in a discrete time analogy of one-dimensional Cellular Neural Networks (CNNs). Some computer evidence of chaotic traveling waves is also given.en_US
dc.language.isoen_USen_US
dc.subjectsnap-back repellersen_US
dc.subjecttraveling wavesen_US
dc.subjectcellular neural networksen_US
dc.titleSnap-back repellers and chaotic traveling waves in one-dimensional cellular neural networksen_US
dc.typeArticleen_US
dc.identifier.doi10.1142/S0218127407018154en_US
dc.identifier.journalINTERNATIONAL JOURNAL OF BIFURCATION AND CHAOSen_US
dc.citation.volume17en_US
dc.citation.issue6en_US
dc.citation.spage1969en_US
dc.citation.epage1983en_US
dc.contributor.department應用數學系zh_TW
dc.contributor.departmentDepartment of Applied Mathematicsen_US
dc.identifier.wosnumberWOS:000252021800006-
dc.citation.woscount1-
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