Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chang, Ya-Wen | en_US |
dc.contributor.author | Juang, Jonq | en_US |
dc.contributor.author | Li, Chin-Lung | en_US |
dc.date.accessioned | 2014-12-08T15:13:57Z | - |
dc.date.available | 2014-12-08T15:13:57Z | - |
dc.date.issued | 2007-06-01 | en_US |
dc.identifier.issn | 0218-1274 | en_US |
dc.identifier.uri | http://dx.doi.org/10.1142/S0218127407018154 | en_US |
dc.identifier.uri | http://hdl.handle.net/11536/10751 | - |
dc.description.abstract | In 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.iso | en_US | en_US |
dc.subject | snap-back repellers | en_US |
dc.subject | traveling waves | en_US |
dc.subject | cellular neural networks | en_US |
dc.title | Snap-back repellers and chaotic traveling waves in one-dimensional cellular neural networks | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1142/S0218127407018154 | en_US |
dc.identifier.journal | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | en_US |
dc.citation.volume | 17 | en_US |
dc.citation.issue | 6 | en_US |
dc.citation.spage | 1969 | en_US |
dc.citation.epage | 1983 | en_US |
dc.contributor.department | 應用數學系 | zh_TW |
dc.contributor.department | Department of Applied Mathematics | en_US |
dc.identifier.wosnumber | WOS:000252021800006 | - |
dc.citation.woscount | 1 | - |
Appears in Collections: | Articles |
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