𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Global properties for a class of dynamical neural circuits

✍ Scribed by Yuguang Fang; Thomas G. Kincaid


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
770 KB
Volume
335
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

✦ Synopsis


In th& paper, we study the global properties of a class of asymmetrical Hopfield-type neural circuits. We first present a result for the existence and uniqueness of an equilibrium point; this result does not assume smoothness of the neural activation functions. Then we give some testable sufficient conditions for the global stability of such neural circuits. These results generalize a few previous known results and remove some restrictions on the neural circuits.


πŸ“œ SIMILAR VOLUMES


Global structure for a class of dynamica
✍ Suochun Zhang; Zuo-Huan Zheng πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 115 KB

In this paper, we shall consider the global structure of positive bounded systems on the plane which have m singular points, but not any closed orbits and singular closed orbits. We shall prove that these systems have at least m Γ€ 1 connecting orbits; and all the connecting orbits, homoclinic orbits

A class of convergent neural network dyn
✍ Bernold Fiedler; TomΓ‘Ε‘ Gedeon πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 340 KB

We consider a class of systems of differential equations in Nn which exhibits convergent dynamics. We find a Lyapunov function and show that every bounded trajectory converges to the set of equilibria. Our result generalizes the results of Cohen and Grossberg (1983) for convergent neural networks. I