کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897509 1044544 2009 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bounds for the chaotic region in the Lorenz model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Bounds for the chaotic region in the Lorenz model
چکیده انگلیسی

In a previous paper, the authors made an extensive numerical study of the Lorenz model, changing all three parameters of the system. We conjectured that the region of parameters where the Lorenz model is chaotic is bounded for fixed rr. In this paper, we give a theoretical proof of the conjecture by obtaining theoretical bounds for the chaotic region and by using Fenichel theory. The theoretical bounds are complemented with numerical studies performed using the Maximum Lyapunov Exponent and OFLI2 techniques, and a comparison of both sets of results is shown. Finally, we provide a complete three-dimensional model of the chaotic regime depending on the three parameters.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 238, Issue 16, 1 August 2009, Pages 1615–1624
نویسندگان
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