Bifurcation analysis of an oscillatory CNN model with two cells |
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| Authors: | Barnabas M Garay Peter L Simon |
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| Institution: | 1. Institute of Mathematics Budapest University of Technology, Hungary and Computer and Automation Research Institute, Hungarian Academy of Sciences, 1117, Budapest, Hungary
2. Department of Applied Analysis and Computational Mathematics, E?tv?s Loránd University, Budapest, Hungary
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| Abstract: | The aim of this paper is to carry out the full bifurcation analysis of the two-parameter two-dimensional oscillatory cellular neural network (CNN) model (3)–(4) in Chap. 8 of the recent monograph of Chua and Roska (Cellular Neural Networks and Visual Computing, Cambridge University Press, 2002]). The main tool is an averaged divergence inequality implying that—regardless the dimension of the phase space—compact invariant sets are of zero Lebesgue measure. |
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