کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
10414047 896069 2014 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Centers on center manifolds in the Lorenz, Chen and Lü systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
Centers on center manifolds in the Lorenz, Chen and Lü systems
چکیده انگلیسی
We provide in a very straightforward manner a proof for the existence of centers on center manifolds, for the generalized Lorenz system, ẋ=a(y-x),ẏ=bx+cy-xz,ż=dz+xy. From this result, the presence of this Hopf bifurcation of codimension infinity is trivially deduced for the Lorenz, Chen and Lü systems. Our outcomes are novel for the Lorenz and Chen systems and, in the case of the Lü system, we obtain again, but in an easier way, the result found in the literature. Moreover, we show for this Hopf bifurcation a relationship between the three systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 19, Issue 4, April 2014, Pages 772-775
نویسندگان
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