2019/09/07 by Chi Phan, Phan, Chi, Yuncheng You +1
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Analysis of PDEs (math.AP) #Applied mathematics #Attractor #Bounded function #Compact space #Differential equation #Dissipative system #Domain (mathematical analysis) #Exponential dichotomy #FOS: Mathematics #Lipschitz continuity #Mathematical analysis #Mathematics #Nonlinear Dynamics and Pattern Formation #Physics #Pullback #Pullback attractor #math.AP #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1909.03196
published in arXiv (Cornell University) (Cornell University)
arxiv created 2019/09/07 · openalex publication_date 2019/09/07 · arxiv updated 2019/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04
Global dynamics of nonautonomous diffusive Hindmarsh-Rose equations on a three-dimensional bounded domain in neurodynamics is investigated. The existence of a pullback attractor is proved through uniform estimates showing the pullback dissipative property and the pullback asymptotical compactness. Then the existence of pullback exponential attractor is also established by proving the smoothing Lipschitz continuity in a long run of the solution process.