2017
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2
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The behavior of nonidentical and dependent standby components in a coherent system
2
2
In this paper, a coherent system consisting of nonidentical dependent active components and equipped with nonidentical 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.
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39
50


Heshmatolah
Jamali
Department of Mathematics, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran
Department of Mathematics, Marvdasht
Iran
hm.jamali@yahoo.com


Mohsen
Rezapour
Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
Department of Statistics, Faculty
Iran
mohsenrzp@gmail.com
Stochastic ordering
Archimedean copula
order statistics
standby redundancy
reliability systems
HOPF BIFURCATION CONTROL WITH PD CONTROLLER
2
2
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.
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51
57


M.
Darvishi
DEPARTMENT OF MATHEMATICS, FACULTY OF MATHEMATICS AND STATISTICS, UNIVERSITY OF BIRJAND, BIRJAND, IRAN
DEPARTMENT OF MATHEMATICS, FACULTY OF MATHEMATICS
Iran
m.darvishi@birjand.ac.ir


H.M.
MOHAMMADINEJAD
DEPARTMENT OF MATHEMATICS, FACULTY OF MATHEMATICS AND
STATISTICS, UNIVERSITY OF BIRJAND, BIRJAND, IRAN
DEPARTMENT OF MATHEMATICS, FACULTY OF MATHEMATICS
Iran
hmohammadin@birjand.ac.ir
Hopf bifurcation
Bifurcation control
PD Controller
Stability
Time delay