HOPF BIFURCATION CONTROL WITH PD CONTROLLER
عنوان مقاله: HOPF BIFURCATION CONTROL WITH PD CONTROLLER
شناسه ملی مقاله: JR_KJMMRC-4-2_002
منتشر شده در شماره 2 دوره 4 فصل در سال 1394
شناسه ملی مقاله: JR_KJMMRC-4-2_002
منتشر شده در شماره 2 دوره 4 فصل در سال 1394
مشخصات نویسندگان مقاله:
M. Darvishi - DEPARTMENT OF MATHEMATICS, FACULTY OF MATHEMATICS AND STATISTICS, UNIVERSITY OF BIRJAND, BIRJAND, IRAN
H.M. MOHAMMADINEJAD - DEPARTMENT OF MATHEMATICS, FACULTY OF MATHEMATICS AND STATISTICS, UNIVERSITY OF BIRJAND, BIRJAND, IRAN
خلاصه مقاله:
M. Darvishi - DEPARTMENT OF MATHEMATICS, FACULTY OF MATHEMATICS AND STATISTICS, UNIVERSITY OF BIRJAND, BIRJAND, IRAN
H.M. MOHAMMADINEJAD - 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.
کلمات کلیدی: Hopf bifurcation, Bifurcation control, PD Controller, Stability, Time delay
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/857231/