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This paper is concerned with globally asymptotical synchronization of fractional-order memristor-based neural networks (FMNNs) with multiple time-varying delays. Based on the definition of memristors, a more practical model of FMNNs with multiple time-varying delays is constructed from the integerorder counterparts. FMNNs are represented by fractional-order differential equations with discontinuous...
In this paper, a fractional-order (and an integer-order) memristor-based system with the flux-controlled memristor characterized by smooth quadratic nonlinearity is proposed and detailed dynamical analysis is carried out by means of theoretical and numerical methods. To be more specific, stability of each equilibrium point in the equilibrium set is analyzed for the integer-order memristive system...
In this paper, a fractional-order four-cell cellular neural network is proposed and the complex dynamical behaviors of such a network are investigated by means of numerical simulations. Several varieties of interesting dynamical behaviors, such as periodic, chaotic and hyperchaotic motions, are displayed. In addition, it can be found that the network does exhibit hyperchaotic phenomena over a wide...
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