Periodic Oscillation in Neutrophil Models with Time Delays

Periodic oscillation for a three-neuron network with delays

By means of the coincidence degree theory, we give some criteria for the existence of periodic solutions of a three-neuron network model. @ 2003 Elsevier Ltd. All rights reserved. Keywords-Three-neuron network model, Periodic solution, The continuation theorem.

Periodic oscillations in leukopoiesis models with two delays.

The term leukopoiesis describes processes leading to the production and regulation of white blood cells. It is based on stem cells differentiation and may exhibit abnormalities resulting in severe diseases, such as cyclical neutropenia and leukemias. We consider a nonlinear system of two equations, describing the evolution of a stem cell population and the resulting white blood cell population....

H? Control of Discrete-time Uncertain Periodic Systems with Delays

This paper deals with the problem of H1 control for a class of linear discrete-time periodic system with delays. The obtained results are then extended for the time-delay periodic system with Linear Fractional Representation (LFR) uncertainty. Furthermore, linear matrix inequality (LMI)-based su cient conditions for H1 control are established. Two numerical examples are given to illustrate the ...

Periodic Solutions for Planar Systems with Time-varying Delays

This paper concerns delay differential systems that can be regarded as a model of two-neuron artificial neural network with delayed feedback. Some interesting results are obtained for the existence of a periodic solution for the system. Our approach is based on the continuation theorem of coincidence degree, and a-priori estimates of the periodic solutions.

Anti-periodic solutions for BAM neural networks with time delays