| Summary: | 碩士 === 國立中央大學 === 數學研究所 === 92 === In this thesis, we study the camel-like traveling wave solutions for a class of delayed cellular neural networks distributed in the one-dimensional integer lattice Z. The dynamics of a given cell is characterized by instantaneous
self-feedback and neighborhood interaction with its nearest m left neighbors with distributive delay due to, for example, finite switching speed and finite velocity of signal transmission.
Using the method of step, we can directly figure out the analytic solution and then prove that,
in addition to the existence of monotonic
traveling wave solutions, for certain templates there exist non-monotonic traveling wave solutions such as camel-like waves with many critical points. Some numerical results are also given.
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