Periodic solution to BAM neural network with delays on time scales

Authors:
Anping Chen;Fulai Chen
Affiliations:
Department of Mathematics, Xiangnan University, Chenzhou, Hunan 423000, China and School of Mathematics and Computational Science, Xiangtan University, Xiangtan, Hunan 411005, China;Department of Mathematics, Xiangnan University, Chenzhou, Hunan 423000, China
Venue:
Neurocomputing
Year:
2009

Citing 17
Cited 5

Bidirectional associative memories

IEEE Transactions on Systems, Man and Cybernetics
Global dynamics of bidirectional associative memory neural networks involving transmission delays and dead zones

Neural Networks
Global exponential stability in continuous-time and discrete-time delayed bidirectional neural networks

Physica D
Dynamic equations on time scales: a survey

Journal of Computational and Applied Mathematics - Dynamic equations on time scales
Hybrid systems on time scales

Journal of Computational and Applied Mathematics - Dynamic equations on time scales
Exponential stability of continuous-time and discrete-time cellular neural networks with delays

Applied Mathematics and Computation
Stability and bifurcation analysis on a discrete-time neural network

Journal of Computational and Applied Mathematics
Corresponding Banach spaces on time scales

Journal of Computational and Applied Mathematics - Special issue: Proceedings of the conference on orthogonal functions and related topics held in honor of Olav Njåstad
Periodic oscillation of discrete-time bidirectional associative memory neural networks

Neurocomputing
Exponential stability of delayed bidirectional associative memory neural networks with reaction diffusion terms

International Journal of Systems Science
Letters: Global exponential stability of delayed BAM network on time scale

Neurocomputing
Stability and existence of periodic solutions to delayed Cohen-Grossberg BAM neural networks with impulses on time scales

Neurocomputing
Exponential stability of periodic solution to Cohen-Grossberg-type BAM networks with time-varying delays

Neurocomputing
Dynamics of a class of nonlinear discrete-time neural networks

Computers & Mathematics with Applications
Exponential stability and periodic oscillatory solution in BAM networks with delays

IEEE Transactions on Neural Networks
Stability and Hopf Bifurcation in a Simplified BAM Neural Network With Two Time Delays

IEEE Transactions on Neural Networks
Delay-independent stability in bidirectional associative memory networks

IEEE Transactions on Neural Networks

Existence and global exponential stability of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales

Neural Networks
Stability of neural networks with both impulses and time-varying delays on time scale

ISNN'11 Proceedings of the 8th international conference on Advances in neural networks - Volume Part I
Global exponential stability of neural networks with discrete and distributed delays and general activation functions on time scales

Neurocomputing
Existence of periodic solution for competitive neural networks with time-varying and distributed delays on time scales

ISNN'13 Proceedings of the 10th international conference on Advances in Neural Networks - Volume Part I
Global stability of complex-valued neural networks with both leakage time delay and discrete time delay on time scales

Neurocomputing

Quantified Score

Hi-index	0.01

Visualization

Abstract

In this paper, by using the theory of calculus on time scales, contraction mapping principle and Liapunov functional method, some sufficient conditions are obtained to ensure the existence and global exponential stability of periodic solution to BAM neural network with delays on time scales. This paper unifies the periodic discrete-time and continuous-time BAM neural networks under the same framework.