A fractional-order hopfield neural network chaotic system and its circuit realization
School of Information Science and Engineering, Dalian Polytechnic University, Dalian, 116034, China
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Accepted: 19 October 2019
Published online: 23 January 2020
This paper investigated a novel fractional-order Hopfield neural network with complex function nonlinear terms based on Adomian decomposition method. The equilibrium points set and stability of the system are studied. The dynamic behaviors of the system are analyzed through bifurcation diagram, Lyapunov exponent spectrum and Lyapunov dimension. Meanwhile, the influence of the synaptic coupling strength and the order of the system are determined. Especially, complex phenomenon of coexisting attractors is observed in the fractional-order system. The results show that the novel fractional-order Hopfield neural network chaotic system has rich dynamic characteristics. In addition, we implement the system through a DSP platform and the results are in good agreement with those on simulation. It provides a theoretical foundation for the application of fractional-order Hopfield neural network in secure communication.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020