International Journal of Bifurcation and Chaos · 2006 · 16 citations · 15 references
Natural SciencesCell BiologyComplex SystemsDynamical SystemsBifurcation TheoryChaos TheoryNetwork DynamicsNeural Circuit DynamicsNeural NetworksNonlinear DynamicsBifurcationBifurcation AnalysisLyapunov FunctionsLyapunov SpectrumNeural Network DynamicsNeuron DynamicsNeuronal Network DynamicsSimple Cells
In this paper we demonstrate hyperchaotic dynamics in a very simple Cellular Neural Network (CNN) which is a one-dimensional regular array of four cells. The Lyapunov spectrum is calculated in a range of parameters, and the bifurcation plot is presented as well.
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Ergodic theory of chaos and strange attractors
Jean‐Pierre Eckmann, David Ruelle · Reviews of Modern Physics · 1985 · 4.9K citations
Cellular neural networks: theory
Leon O. Chua, L. Yang · IEEE Transactions on Circuits and Systems · 1988 · 4.8K citations
Otto E. Rössler · Physics Letters A · 1979 · 1.4K citations
Leon O. Chua, M. Hasler, G.S. Moschytz et al. · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 1995 · 271 citations · Full text
Natural Sciences, Biology, Physics +17