eng
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2645-4505
2015-08-01
4
2
39
50
10.22103/jmmrc.2017.1657
1657
The behavior of non-identical and dependent standby components in a coherent system
Heshmatolah Jamali
hm.jamali@yahoo.com
1
Mohsen Rezapour
mohsenrzp@gmail.com
2
Department of Mathematics, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
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.
http://jmmrc.uk.ac.ir/article_1657_d11a83aca040f1cc4f35dac2fc3418bd.pdf
Stochastic ordering
Archimedean copula
order statistics
standby redundancy
reliability systems
eng
Shahid Bahonar University of Kerman
Journal of Mahani Mathematical Research Center
2251-7952
2645-4505
2015-08-01
4
2
51
57
10.22103/jmmrc.2017.1658
1658
HOPF BIFURCATION CONTROL WITH PD CONTROLLER
M. Darvishi
m.darvishi@birjand.ac.ir
1
H.M. MOHAMMADINEJAD
hmohammadin@birjand.ac.ir
2
DEPARTMENT OF MATHEMATICS, FACULTY OF MATHEMATICS AND STATISTICS, UNIVERSITY OF BIRJAND, BIRJAND, IRAN
DEPARTMENT OF MATHEMATICS, FACULTY OF MATHEMATICS AND STATISTICS, UNIVERSITY OF BIRJAND, BIRJAND, IRAN
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.
http://jmmrc.uk.ac.ir/article_1658_d67a40179b767cbf5395dcddb6c594e0.pdf
Hopf bifurcation
Bifurcation control
PD Controller
Stability
Time delay