HYPERCHAOTIC BEHAVIOR IN ARBITRARY-DIMENSIONAL FRACTIONAL-ORDER QUANTUM CELLULAR NEURAL NETWORK MODEL

Abstract

In this paper, an arbitrary-dimensional quantum cellular neural network (QCNN) model and its fractional-order form are presented by using the polarization of quantum-dot cell and fractional derivatives. Two classes of fractional-order QCNN equations, either two-cell or three-cell models with different value of fractional order α are taken into consideration in detail. In particular, more complex and abundant fractional-order hyperchaotic behaviors can be observed by these two examples. Thus, the proposed fractional-order arbitrary-dimensional QCNN model can have an effective noninteger dimension and can generate rich hyperchaotic dynamics by nth cell. Numerical analysis and simulation results are provided to show the effectiveness of the proposed approach. This study provides valuable information about nth cell fractional-order QCNNs for further application in high-parallel signal processing and fractional quantum chaotic generators.