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 - <p style="text-align: justify;">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.</p>