International Journal of Bifurcation and Chaos · 1999 · 41 citations · 26 references
Natural SciencesMathematicsDynamical SystemsNeural EngineeringNeural NetworksNeural OscillationsNeuronal DynamicsNonlinear DynamicsNonlinear Wave DynamicsWave PropagationCellular NetworksOscillatory DynamicsPeriodic Solutions Of Differential EquationsStability Of Traveling WavesTraveling Wave PropagationTraveling Wave SolutionsTraveling WavesWave Train Analysis
In this paper, we study the structure of traveling wave solutions of Cellular Neural Networks of the advanced type. We show the existence of monotone traveling wave, oscillating wave and eventually periodic wave solutions by using shooting method and comparison principle. In addition, we obtain the existence of periodic wave train solutions.
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Cellular neural networks: theory
Leon O. Chua, L. Yang · IEEE Transactions on Circuits and Systems · 1988 · 4.8K citations
Cellular neural networks: applications
Leon O. Chua, L. Yang · IEEE Transactions on Circuits and Systems · 1988 · 2.4K citations