Existence of monotonic traveling waves in lattice dynamical systems

研究成果: 雜誌貢獻期刊論文同行評審

5 引文 斯高帕斯(Scopus)

摘要

This paper deals with the existence of monotonic traveling and standing wave solutions for a certain class of lattice differential equations. Employing the techniques of monotone iteration coupled with the concept of upper and lower solutions in the theory of monotone dynamical systems, we can classify the monotonic traveling wave solutions with various asymptotic boundary conditions. For the case of zero wave speed, a novel discrete monotone iteration scheme is established for proving the existence of monotonic standing wave solutions. Applications are made to several models including cellular neural networks, original and modified RTD-based cellular neural networks. Numerical simulations of the monotone iteration schemes are also given.

原文???core.languages.en_GB???
頁(從 - 到)2375-2394
頁數20
期刊International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
15
發行號8
DOIs
出版狀態已出版 - 8月 2005

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