title: Stability of neural field.
abstract: The main purpose of this paper is to investigate the case that neurons can not be considered as individuals in the system, so they need to be treated as a continuum. In this paper, we have proved that if the interconnection of neural field is symmetric, then every trajectory of the system converges to an equilibrium. For the case that the interconnection is asymmetric, we give a sufficient condition which can guarantee that the equilibria of the neural field is unique and it also a global attractor.
authors: Department of Applied Mathematics, Chung Yuan Christian University, No. 200 Chung-Pei Road, Chung Li, 32023 Taiwan, ROC. jwwu@cycu.edu.tw
authors: Jinn-Wen
authors: JW
authors: Wu
authors: Kuo-Chih
authors: KC
authors: Chen
mesh_terms: D000465:Algorithms; D008959:Models, Neurological; D016571:Neural Networks, Computer; D009434:Neural Pathways / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D017711:Nonlinear Dynamics