document: Complex dynamics in nearly symmetric three-cell cellular neural networks The paper introduces a class of third-order nonsymmetric Cellular Neural Networks -LRB- CNNs -RRB- , and shows through computer simulations that they undergo a cascade of period doubling bifurcations which leads to the birth of a large-size complex attractor . A major point is that these bifurcations and complex dynamics happen in a small neighborhood of a particular CNN with a symmetric interconnection matrix
doc_bio_tags: B I O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O O B I I O O O O O O O O O O O O O O O O O O O B I O O O O O O O O B O O B I I
extractive_keyphrases: complex dynamics cnn period doubling bifurcations symmetric interconnection matrix
abstractive_keyphrases: nearly symmetric three-cell cellular neural networks large-size complex attractor robustness complete stability perturbations stable limit cycles differential equations neuron interconnection matrix