Existence of monotonic traveling waves in modified RTD-based cellular neural networks (Q934509)

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scientific article; zbMATH DE number 5305507
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Existence of monotonic traveling waves in modified RTD-based cellular neural networks
scientific article; zbMATH DE number 5305507

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    Existence of monotonic traveling waves in modified RTD-based cellular neural networks (English)
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    29 July 2008
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    The existence of monotone travelling and standing wave solutions of a one-dimensional RTD-based cellular neural network is studied, where the equation also incorporates constant thresholds terms. By applying monotone iteration techniques among with the concept of upper and lower solutions, the authors classify monotone travelling and standing wave solutions for various parameter regimes. Additional numerical examples are also provided in the article.
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    lattice differential equation
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    cellular neural networks
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    travelling waves
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    standing waves
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