Traveling Waves for Delayed Cellular Neural Networks with Nonmonotonic Output Functions
Joint Authors
Yu, Zhi-Xian
Hsu, Cheng-Hsiung
Peng, Mingshu
Yuan, Rong
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-22
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This work investigates traveling waves for a class of delayed cellular neural networks with nonmonotonic output functions on the one-dimensional integer lattice Z.
The dynamics of each given cell depends on itself and its nearest m left or l right neighborhood cells with distributed delay due to, for example, finite switching speed and finite velocity of signal transmission.
Our technique is to construct two appropriate nondecreasing functions to squeeze the nonmonotonic output functions.
Then we construct a suitable wave profiles set and derive the existence of traveling wave solutions by using Schauder's fixed point theorem.
American Psychological Association (APA)
Yu, Zhi-Xian& Yuan, Rong& Hsu, Cheng-Hsiung& Peng, Mingshu. 2014. Traveling Waves for Delayed Cellular Neural Networks with Nonmonotonic Output Functions. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033795
Modern Language Association (MLA)
Yu, Zhi-Xian…[et al.]. Traveling Waves for Delayed Cellular Neural Networks with Nonmonotonic Output Functions. Abstract and Applied Analysis No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-1033795
American Medical Association (AMA)
Yu, Zhi-Xian& Yuan, Rong& Hsu, Cheng-Hsiung& Peng, Mingshu. Traveling Waves for Delayed Cellular Neural Networks with Nonmonotonic Output Functions. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-1033795
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033795