Xiuxiang Liu, Peixuan Weng, Zhiting Xu
Abstract:
This paper concerns the existence of
travelling wave solutions of delayed cellular neural
networks distributed in a 1-dimensional lattice
with nonlinear output. Under appropriate assumptions,
we prove the existence of travelling waves and extend
some known results.
Submitted February 15, 2006. Published April 28, 2006.
Math Subject Classifications: 34B15, 34K10.
Key Words: Cellular neural networks; lattice dynamical system;
travelling wave solutions; monotone iteration
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Xiuxiang Liu School of Mathematical Sciences South China Normal University Guangzhou, 510631, China email: liuxx@scnu.edu.cn |
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Peixuan Weng School of Mathematical Sciences South China Normal University Guangzhou, 510631, China email: wengpx@scnu.edu.cn |
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Zhiting Xu School of Mathematical Sciences South China Normal University Guangzhou, 510631, China email: xztxhyyj@pub.guangzhou.gd.cn |
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