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- W4291964319 abstract "Global dynamics of the diffusive Hindmarsh-Rose equations with memristor as a new proposed model for neuron dynamics are investigated in this paper. We prove the existence and regularity of a global attractor for the solution semiflow through uniform analytic estimates showing the higher-order dissipative property and the asymptotically compact characteristics of the solution semiflow by the approach of Kolmogorov-Riesz theorem. The quantitative bounds of the regions containing this global attractor respectively in the state space and in the regular space are explicitly expressed by the model parameters." @default.
- W4291964319 created "2022-08-16" @default.
- W4291964319 creator A5059611037 @default.
- W4291964319 date "2022-08-11" @default.
- W4291964319 modified "2023-09-23" @default.
- W4291964319 title "Global Dynamics of Diffusive Hindmarsh-Rose Equations with Memristors" @default.
- W4291964319 doi "https://doi.org/10.48550/arxiv.2208.06012" @default.
- W4291964319 hasPublicationYear "2022" @default.
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