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Volume 2, Issue 4
Global Attractor of Hindmarsh-Rose Equations in Neurodynamics

Chi Phan, Yuncheng You & Jianzhong Su

DOI: 10.12150/jnma.2020.601

J. Nonl. Mod. Anal., 2 (2020), pp. 601-619.

Published online: 2021-04

[An open-access article; the PDF is free to any online user.]

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  • Abstract

Global dynamics for a new mathematical model in neurodynamics of the diffusive Hindmarsh-Rose equations on a bounded domain is investigated in this paper. The existence of a global attractor and its regularity are proved through uniform estimates showing the dissipative properties and the asymptotically compact and smoothing characteristics.

  • Keywords

Diffusive Hindmarsh-Rose equations, Global attractor, Absorbing property, Asymptotic compactness, Attractor regularity.

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COPYRIGHT: © Global Science Press

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@Article{JNMA-2-601, author = {Phan , ChiYou , Yuncheng and Su , Jianzhong}, title = {Global Attractor of Hindmarsh-Rose Equations in Neurodynamics}, journal = {Journal of Nonlinear Modeling and Analysis}, year = {2021}, volume = {2}, number = {4}, pages = {601--619}, abstract = {

Global dynamics for a new mathematical model in neurodynamics of the diffusive Hindmarsh-Rose equations on a bounded domain is investigated in this paper. The existence of a global attractor and its regularity are proved through uniform estimates showing the dissipative properties and the asymptotically compact and smoothing characteristics.

}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2020.601}, url = {http://global-sci.org/intro/article_detail/jnma/18832.html} }
TY - JOUR T1 - Global Attractor of Hindmarsh-Rose Equations in Neurodynamics AU - Phan , Chi AU - You , Yuncheng AU - Su , Jianzhong JO - Journal of Nonlinear Modeling and Analysis VL - 4 SP - 601 EP - 619 PY - 2021 DA - 2021/04 SN - 2 DO - http://doi.org/10.12150/jnma.2020.601 UR - https://global-sci.org/intro/article_detail/jnma/18832.html KW - Diffusive Hindmarsh-Rose equations, Global attractor, Absorbing property, Asymptotic compactness, Attractor regularity. AB -

Global dynamics for a new mathematical model in neurodynamics of the diffusive Hindmarsh-Rose equations on a bounded domain is investigated in this paper. The existence of a global attractor and its regularity are proved through uniform estimates showing the dissipative properties and the asymptotically compact and smoothing characteristics.

Phan , ChiYou , Yuncheng and Su , Jianzhong. (2021). Global Attractor of Hindmarsh-Rose Equations in Neurodynamics. Journal of Nonlinear Modeling and Analysis. 2 (4). 601-619. doi:10.12150/jnma.2020.601
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