2019/08/14 by Chi Phan, Phan, Chi, Yuncheng You +1
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Stability and Controllability of Differential Equations #math.AP #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1908.05661
arXiv admin note: text overlap with arXiv:1907.13225
arxiv created 2019/08/14 · openalex publication_date 2019/08/14 · arxiv updated 2019/08/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The existence of an exponential attractor for the diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain originated in the study of neurodynamics is proved through uniform estimates together with a new theorem on the squeezing property of an abstract reaction-diffusion equation also proved in this paper. The results infer that the global attractor whose existence has been established in [23] for the Hindmarsh-Rose semiflow has a finite fractal dimension.