Multistability in a class of stochastic delayed Hopfield neural networks

DOI10.1016/j.neunet.2015.04.010zbMath1398.34119OpenAlexW797440643WikidataQ50911985 ScholiaQ50911985MaRDI QIDQ1669135

Shixian Luo, Wu-Hua Chen, Xiaomei Lu

Publication date: 30 August 2018

Published in: Neural Networks (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.neunet.2015.04.010

zbMATH Keywords

delayLyapunov methodmultistabilitystochastic Hopfield neural networksmean square exponential stabilitypositive invariant set

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50)

Related Items

Exponential multistability of memristive Cohen-Grossberg neural networks with stochastic parameter perturbations ⋮ Delay-dependent attractor analysis of Hopfield neural networks with time-varying delays ⋮ Global exponential convergence of neutral-type Hopfield neural networks with multi-proportional delays and leakage delays ⋮ Multistability analysis of state-dependent switched Hopfield neural networks with the Gaussian-wavelet-type activation function ⋮ Multistability analysis of delayed recurrent neural networks with a class of piecewise nonlinear activation functions ⋮ Multi-periodicity of switched neural networks with time delays and periodic external inputs under stochastic disturbances ⋮ \( \mu \)-stability and instability of multiple equilibrium points in delayed neural networks with general discontinuous activation functions ⋮ Multistability of delayed complex-valued competitive neural networks with discontinuous non-monotonic piecewise nonlinear activation functions ⋮ Robustness analysis of global exponential stability in neural networks evoked by deviating argument and stochastic disturbance

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