𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Periodic solutions for a delayed neural network model on a special time scale

✍ Scribed by Feiyan Zheng; Zhan Zhou; Chaoqun Ma

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
262 KB
Volume
23
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

✦ Synopsis

This paper concerns a delayed neural network model

Here T is a special time scale, and f is a signal transmission function. According to the discontinuity of signal function, by iteration, we obtain the existence of periodic solutions of the model and their asymptotical stability.

πŸ“œ SIMILAR VOLUMES

A scale-free neural network for modellin
A scale-free neural network for modelling neurogenesis
✍ Juan I. Perotti; Francisco A. Tamarit; Sergio A. Cannas πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 183 KB

In this work we introduce a neural network model for associative memory based on a diluted Hopfield model, which grows through a neurogenesis algorithm that guarantees that the final network is a small-world and scale-free one. We also analyze the storage capacity of the network and prove that its p

Existence and global exponential stabili
Existence and global exponential stability of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales
✍ Zhengqiu Zhang; Kaiyu Liu πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 486 KB

In this paper, we first investigate the existence of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales by the continuation theorem of coincidence degree theory. Then, by constructing a Lyapunov functional, we discuss th