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, issue 1

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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https://doi.org/10.1155/2013/657245

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:657245

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