Existence and Multiplicity of Traveling Waves in a Lattice Dynamical System

Cheng Hsiung Hsu; Song Sun Lin

doi:10.1006/jdeq.2000.3770

Existence and Multiplicity of Traveling Waves in a Lattice Dynamical System

Cheng Hsiung Hsu, Song Sun Lin

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

49 引文斯高帕斯（Scopus）

摘要

This work proves the existence and multiplicity results of monotonic traveling wave solutions for some lattice differential equations by using the monotone iteration method. Our results include the model of cellular neural networks (CNN). In addition to the monotonic traveling wave solutions, non-monotonic and oscillating traveling wave solutions in the delay type of CNN are also obtained.

原文	???core.languages.en_GB???
頁（從 - 到）	431-450
頁數	20
期刊	Journal of Differential Equations
卷	164
發行號	2
DOIs	https://doi.org/10.1006/jdeq.2000.3770
出版狀態	已出版 - 1 7月 2000

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10.1006/jdeq.2000.3770

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abstract = "This work proves the existence and multiplicity results of monotonic traveling wave solutions for some lattice differential equations by using the monotone iteration method. Our results include the model of cellular neural networks (CNN). In addition to the monotonic traveling wave solutions, non-monotonic and oscillating traveling wave solutions in the delay type of CNN are also obtained.",

keywords = "Cellular neural networks, Discrete dynamical system, Traveling wave",

author = "Hsu, {Cheng Hsiung} and Lin, {Song Sun}",

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AU - Lin, Song Sun

N1 - Funding Information: 1Work partially supported by NSC88-2115-259-003. 2Work partially supported by NSC88-2115-M009-001.

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N2 - This work proves the existence and multiplicity results of monotonic traveling wave solutions for some lattice differential equations by using the monotone iteration method. Our results include the model of cellular neural networks (CNN). In addition to the monotonic traveling wave solutions, non-monotonic and oscillating traveling wave solutions in the delay type of CNN are also obtained.

AB - This work proves the existence and multiplicity results of monotonic traveling wave solutions for some lattice differential equations by using the monotone iteration method. Our results include the model of cellular neural networks (CNN). In addition to the monotonic traveling wave solutions, non-monotonic and oscillating traveling wave solutions in the delay type of CNN are also obtained.

KW - Cellular neural networks

KW - Discrete dynamical system

KW - Traveling wave

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Existence and Multiplicity of Traveling Waves in a Lattice Dynamical System

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