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Traveling waves in cellular neural networks. (English) Zbl 0964.34033
Summary: The authors study the structure of traveling wave solutions of cellular neural networks of advanced type. They show the existence of monotone traveling wave, oscillating wave and eventually periodic wave solutions by using shooting method and comparison principle. In addition, they obtain the existence of periodic wave train solutions.

MSC:
34C25Periodic solutions of ODE
37L60Lattice dynamics (infinite-dimensional dissipative systems)
34C60Qualitative investigation and simulation of models (ODE)
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