Monotonic Traveling Wave Solutions in Delayed Cellular Neural Networks

• Main Authors: Wei-Lun Su, 蘇惟倫
• Other Authors: Cheng-Hsiung Hsu
• Format: Others
• Language: en_US
• Published: 2003
• Online Access: http://ndltd.ncl.edu.tw/handle/82694947975984970124

碩士 === 國立中央大學 === 數學研究所 === 91 === Abstract This paper is concerned with the existence of monotonic traveling wave solutions of cellular neural networks distributed in the one-dimensional integer lattice Z. The dynamics of each given cell depends on itself and its neighbor cells with instantaneous feedback.The profile equation of the infinite system of ordinary differential equations can be written as a functional differential equation in mixed type. By using the monotone iteration method, we show the existence of non-decreasing traveling solutions when the speed is negative enough.