Nonlinear dynamics and chaos in a simplified memristor-based fractional-order neural network with discontinuous memductance function

2018 ◽  
Vol 93 (2) ◽  
pp. 611-627 ◽  
Author(s):  
Yingjie Fan ◽  
Xia Huang ◽  
Zhen Wang ◽  
Yuxia Li
Keyword(s):  
Neural Network ◽  
Nonlinear Dynamics ◽  
Fractional Order ◽  
Nonlinear Dynamics And Chaos

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

2013 ◽  
Vol 2013 ◽  
pp. 1-9 ◽  
Author(s):  
Xia Huang ◽  
Zhen Wang ◽  
Yuxia Li
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Fractional Order ◽  
Hopfield Neural Network ◽  
Hopfield Neural Networks ◽  
Phase Portraits ◽  
Chaotic Attractors ◽  
Chaotic Motions ◽  
Dynamical Behaviors ◽  
Nonlinear Dynamics And Chaos

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.

Nonlinear dynamics and chaos in fractional-order neural networks

2012 ◽  
Vol 32 ◽  
pp. 245-256 ◽  
Author(s):  
Eva Kaslik ◽  
Seenith Sivasundaram
Keyword(s):  
Nonlinear Dynamics ◽  
Neural Networks ◽  
Fractional Order ◽  
Nonlinear Dynamics And Chaos
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