Global Attractor of Hindmarsh-Rose Equations in Neurodynamics

Authors

  • Chi Phan Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA 
  • Yuncheng You Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA 
  • Jianzhong Su Department of Mathematics, University of Texas at Arlington, Arlington, TX 76019, USA 

DOI:

https://doi.org/10.12150/jnma.2020.601

Keywords:

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

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.

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Published

2024-04-10

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Issue

Vol. 2 No. 4 (2020)

Section

Articles

How to Cite

Global Attractor of Hindmarsh-Rose Equations in Neurodynamics. (2024). Journal of Nonlinear Modeling and Analysis, 2(4), 601-619. https://doi.org/10.12150/jnma.2020.601