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Cellular neural networks: Mosaic patterns, bifurcation and complexity
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Cellular neural networks: Mosaic patterns, bifurcation and complexity

Jonq Juang, L.I. Chin-LungMing-Huang Liu
International Journal of Bifurcation and Chaos, 卷.16(1), 頁碼.47-57
2006

摘要

Bifurcation Cellular neural networks Mosaic patterns Spatial entropy Transition matrix Modeling and Simulation Engineering (miscellaneous) Multidisciplinary Applied Mathematics
We study a one-dimensional Cellular Neural Network with an output function which is nonflat at infinity. Spatial chaotic regions are completely characterized. Moreover, each of their exact corresponding entropy is obtained via the method of transition matrices. We also study the bifurcation phenomenon of mosaic patterns with bifurcation parameters z and β. Here z is a source (or bias) term and β is the interaction weight between the neighboring cells. In particular, we find that by injecting the source term, i.e. z ≠ 0, a lot of new chaotic patterns emerge with a smaller interaction weight β. However, as β increases to a certain range, most of previously observed chaotic patterns disappear, while other new chaotic patterns emerge. © World Scientific Publishing Company.

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