Stability of neural field.
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.
Wu
Jinn-Wen
JW
Department of Applied Mathematics, Chung Yuan Christian University, No. 200 Chung-Pei Road, Chung Li, 32023 Taiwan, ROC. jwwu@cycu.edu.tw
Chen
Kuo-Chih
KC
D000465:Algorithms; D008959:Models, Neurological; D016571:Neural Networks, Computer; D009434:Neural Pathways / Q000502:physiology*; D009474:Neurons / Q000502:physiology*; D017711:Nonlinear Dynamics