Nonlinear Dynamics and Chaos in Fractional-Order Hopfield Neural Networks with Delay

Xia Huang, Zhen Wang and Yuxia Li

Advances in Mathematical Physics, 2013, vol. 2013, 1-9

Abstract:

A fractional-order two-neuron Hopfield neural network with delay is proposed based on the classic well-known Hopfield neural networks, and further, the complex dynamical behaviors of such a network are investigated. A great variety of interesting dynamical phenomena, including single-periodic, multiple-periodic, and chaotic motions, are found to exist. The existence of chaotic attractors is verified by the bifurcation diagram and phase portraits as well.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:657245

DOI: 10.1155/2013/657245

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