The behavior of non-identical and dependent standby components in a coherent system
Heshmatolah
Jamali
Department of Mathematics, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
author
Mohsen
Rezapour
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
author
text
article
2017
eng
In this paper, a coherent system consisting of non-identical dependent active components and equipped with non-identical dependent standby components is considered. The main object of this study is the random quantity which account the number of surviving standby components when the system is failed. We represent the distribution function of the corresponding random variable in terms of system signature.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
4
v.
2
no.
2017
39
50
http://jmmrc.uk.ac.ir/article_1657_d11a83aca040f1cc4f35dac2fc3418bd.pdf
dx.doi.org/10.22103/jmmrc.2017.1657
HOPF BIFURCATION CONTROL WITH PD CONTROLLER
M.
Darvishi
DEPARTMENT OF MATHEMATICS, FACULTY OF MATHEMATICS AND STATISTICS, UNIVERSITY OF BIRJAND, BIRJAND, IRAN
author
H.M.
MOHAMMADINEJAD
DEPARTMENT OF MATHEMATICS, FACULTY OF MATHEMATICS AND
STATISTICS, UNIVERSITY OF BIRJAND, BIRJAND, IRAN
author
text
article
2017
eng
In this paper, we investigate the problem of bifurcation control for a delayed logistic growth model. By choosing the timedelay as the bifurcation parameter, we present a Proportional - Derivative (PD) Controller to control Hopf bifurcation. We show that the onset of Hopf bifurcation can be delayed or advanced via a PD Controller by setting proper controlling parameter. Under consideration model as operator Equation, apply orthogonal decomposition, compute the center manifold and normal form we determined the direction and stability of bifurcating periodic solutions. Therefore the Hopf bifurcation of the model became controllable to achieve desirable behaviour which are applicable in certain circumstances.
Journal of Mahani Mathematical Research Center
Shahid Bahonar University of Kerman
2251-7952
4
v.
2
no.
2017
51
57
http://jmmrc.uk.ac.ir/article_1658_d67a40179b767cbf5395dcddb6c594e0.pdf
dx.doi.org/10.22103/jmmrc.2017.1658