The paper introduces a class of third-order nonsymmetric Cellular Neural Networks (CNNs), 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.
DI MARCO, M., Forti, M., A., T. (2002). Complex dynamics in nearly symmetric three-cell cellular neural networks. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS IN APPLIED SCIENCES AND ENGINEERING, 12(6), 1357-1362 [10.1142/S0218127402005133].
Complex dynamics in nearly symmetric three-cell cellular neural networks
DI MARCO, MAURO;FORTI, MAURO;
2002-01-01
Abstract
The paper introduces a class of third-order nonsymmetric Cellular Neural Networks (CNNs), 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.
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https://hdl.handle.net/11365/19194
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