Traveling waves in cellular neural networks

Cheng Hsiung Hsu*, Song-Sun Lin, Wenxian Shen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Scopus citations

Abstract

In this paper, we study the structure of traveling wave solutions of Cellular Neural Networks of the advanced type. We show the existence of monotone traveling wave, oscillating wave and eventually periodic wave solutions by using shooting method and comparison principle. In addition, we obtain the existence of periodic wave train solutions.

Original languageEnglish
Pages (from-to)1307-1319
Number of pages13
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume9
Issue number7
DOIs
StatePublished - 1 Jan 1999

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