These findings provide theoretical and experimental support for employing memristive single neuron coupling in the field of information encryption by identifying three novel dynamical features of the LAM-Aihara map: triangular waveform bursting firings, centrosymmetric coexisting attractors under different initial conditions, and a high spectral entropy reaching 0.93.
This paper proposes a simple current-controlled second-order LAM mathematical model, which exhibits both negative differential resistance edge of chaos (EOC) domains and positive differential resistance (PDR) EOC domains, and constructs a minimalist third-order neuronal circuit by simply paralleling the LAM with a capa...
Zhen-Zhou Lu, Xinyi Wang, Zhi Zeng et al.· Chinese Physics B· 0 citations
A novel second-order memristor is designed, the nonvolatile nature of the memristor is verified, and the key dynamical behaviors are reproduced through circuit simulation and a DSP-based hardware experimental platform, realizing the systematic research flow from theoretical modeling, numerical simulation to circuit imp...
Jintong Bai, Xian-Ying Xu, Jun Mou et al.· International Journal of Bif...· 0 citations
To address the limitations of traditional Hopfield neural networks in characterizing complex neuron-to-neuron interactions and heterogeneous activation mechanisms, this paper proposes a fractional-order heterogeneous memristively coupled Hopfield neural network model. First, a fractional-order extension of the ReLU-typ...
Chao-Jun Wu, Chao-Fan Zhang, Ning-Ning Yang et al.· International Journal of Bif...· 0 citations
Memristors, known for their unique memory capabilities, are increasingly recognized as key components for the dynamic regulation of neural networks. However, the mechanisms governing multistability and offset-controlled attractors in memristive Hopfield neural networks remain insufficiently understood. To address this...
Hua Liu, Hao Chen, Hai-Jun Wang et al.· Electronics· 0 citations
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