کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4628005 | 1631815 | 2014 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Circuit realization, bifurcations, chaos and hyperchaos in a new 4D system
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
This paper is devoted to introduce a new four-dimensional hyperchaotic system. Existence and uniqueness of the solution of the proposed system are proved. Continuous dependence on initial conditions of the system’s solution and some stability conditions of system’s equilibrium points are studied. The existence of pitchfork bifurcation is demonstrated by using the center manifold theorem and the local bifurcation theory. The Hopf bifurcation is examined in double parameters bifurcation diagrams along with degenerate types of Hopf bifurcations. The rich dynamical behaviors of the system are explored, then circuit implementation of the system is proposed. Numerical simulations are carried out to verify theoretical analysis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 239, 15 July 2014, Pages 333–345
Journal: Applied Mathematics and Computation - Volume 239, 15 July 2014, Pages 333–345
نویسندگان
A.M.A. El-Sayed, H.M. Nour, A. Elsaid, A.E. Matouk, A. Elsonbaty,