General results on the existence and global exponential stability of periodic solutions for generalized shunting inhibitory cellular neural networks with delays.
Global bifurcations in a dynamical model of recurrent neural networks
The dynamical behaviour of a continuous time recurrent neural network model with a special weight matrix is studied. The network contains several identical excitatory neurons and a single inhibitory one. This special construction enables us to reduce the dimension of the system and then fully characterize the local and global codimension-one bifurcations. It is shown that besides saddle-node and Andronov-Hopf bifurcations, homoclinic and cycle fold bifurcations may occur. These bifurcation curves...
Global dissipativity on uncertain discrete-time neural networks with time-varying delays.
Global exponential stability of delayed Cohen-Grossberg BAM neural networks with impulses on time scales.
Global exponential stability of periodic oscillation for nonautonomous BAM neural networks with distributed delay.
Global exponential stability of pseudo almost automorphic solutions for delayed Cohen-Grosberg neural networks with measure
We investigate the Cohen-Grosberg differential equations with mixed delays and time-varying coefficient: Several useful results on the functional space of such functions like completeness and composition theorems are established. By using the fixed-point theorem and some properties of the doubly measure pseudo almost automorphic functions, a set of sufficient criteria are established to ensure the existence, uniqueness and global exponential stability of a -pseudo almost automorphic solution. The...
Global robust dissipativity of integro-differential systems modelling neural networks with time delay.
Global stability of Clifford-valued Takagi-Sugeno fuzzy neural networks with time-varying delays and impulses
In this study, we consider the Takagi-Sugeno (T-S) fuzzy model to examine the global asymptotic stability of Clifford-valued neural networks with time-varying delays and impulses. In order to achieve the global asymptotic stability criteria, we design a general network model that includes quaternion-, complex-, and real-valued networks as special cases. First, we decompose the -dimensional Clifford-valued neural network into -dimensional real-valued counterparts in order to solve the noncommutativity...
Global stability of delayed Hopfield neural networks under dynamical thresholds.