کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629986 1340591 2012 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Estimating the Hausdorff–Besicovitch dimension of boundary of basin of attraction in helicopter trim
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Estimating the Hausdorff–Besicovitch dimension of boundary of basin of attraction in helicopter trim
چکیده انگلیسی

Helicopter trim involves solution of nonlinear force equilibrium equations. As in many nonlinear dynamic systems, helicopter trim problem can show chaotic behavior. This chaotic behavior is found in the basin of attraction of the nonlinear trim equations which have to be solved to determine the main rotor control inputs given by the pilot. This study focuses on the boundary of the basin of attraction obtained for a set of control inputs. We analyze the boundary by considering it at different magnification levels. The magnified views reveal intricate geometries. It is also found that the basin boundary exhibits the characteristic of statistical self-similarity, which is an essential property of fractal geometries. These results led the authors to investigate the fractal dimension of the basin boundary. It is found that this dimension is indeed greater than the topological dimension. From all the observations, it is evident that the boundary of the basin of attraction for helicopter trim problem is fractal in nature.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 21, 1 July 2012, Pages 10435–10442
نویسندگان
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