Chaotic behavior in noninteger-order cellular neural networks

In this paper, a simple system showing chaotic behavior is introduced. It i s based on the well-known concept of cellular neural networks (CNNs), which have already given good results in generating complex dynamics. The peculi arity of the CNN model consists in the fact that it replaces the traditiona l first-order cell with a noninteger-order one. The introduction of the fra ctional cell, with a suitable choice of the coupling parameters, leads to t he onset of chaos in a simple two-cell system. A theoretical approach, base d on the harmonic balance theory, has been used to investigate the existenc e of chaos. A circuit realization of the proposed fractional two-cell chaot ic CNN is reported and the corresponding strange attractor is also shown.