Year: 2020
Author: Chi Phan, Yuncheng You, Jianzhong Su
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2020.601
Journal of Nonlinear Modeling and Analysis, Vol. 2 (2020), Iss. 4 : pp. 601–619
Published online: 2020-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Diffusive Hindmarsh-Rose equations Global attractor Absorbing property Asymptotic compactness Attractor regularity.