CHAOS AND TWO-TORI IN A NEW FAMILY OF 4-CNNS

Xiao‐Song Yang, Yan Huang · International Journal of Bifurcation and Chaos · 2007

In this paper we demonstrate chaos, two-tori and limit cycles in a new family of Cellular Neural Networks which is a one-dimensional regular array of four cells. The Lyapunov spectrum is calculated in a range of parameters, the bifurcation plots are presented as well. Furthermore, we confirm the nature of limit cycle, chaos and two-tori by studying Poincaré maps.

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