Table of Contents
ISRN Applied Mathematics
Volume 2014, Article ID 168247, 8 pages
Research Article

A New Three-Oscillator Model for the Heart System in the Case of Time Delay and Designing Appropriate Controller for Its Synchronization

1Department of Mathematics, Payame Noor University, Tehran, Iran
2Department of Mathematics, Payame Noor University, Mashhad, Iran
3Department of Mathematics, Farhangian University, Mashhad, Iran

Received 6 October 2013; Accepted 12 November 2013; Published 5 June 2014

Academic Editors: A. El-Sayed and C.-H. Lien

Copyright © 2014 Siroos Nazari et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


If the and oscillators are not synchronized, it may arise some kinds of blocking arrhythmias in the system of heart. In this paper, in order to examine the heart system more precisely, we apply the three-oscillator model of the heart system, and to prevent arrhythmias, perform the following steps. Firstly, we add a voltage with rang and frequency to node. Then, we use delay time factor in oscillators and finally the appropriate control is designed. In this paper, we have explained how simulating and curing these arrhythmias are possible by designing a three-oscillator system for heart in the state of delay and without delay and by applying an appropriate control. In the end, we present the simulation results.