کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1897932 | 1044609 | 2008 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Two-parameter sliding bifurcations of periodic solutions in a dry-friction oscillator
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
This paper is concerned with numerical continuation and analytical investigations of sliding bifurcations in Filippov systems. In particular, a methodology developed for the continuation of grazing bifurcations in impacting systems is used to continue sliding bifurcations in Filippov systems. A dry-friction oscillator is investigated from a sliding bifurcations point of view and a complex two-parameter bifurcation diagram of sliding bifurcations is presented. A number of codimension-two sliding bifurcation points that act as organising centres for codimension-one sliding bifurcations are revealed. Two representative codimension-two points are analysed and unfolded, and the analysis is used to explain the dynamics of the dry-friction oscillator in the neighbourhood of these points.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 237, Issue 8, 15 June 2008, Pages 1053-1073
Journal: Physica D: Nonlinear Phenomena - Volume 237, Issue 8, 15 June 2008, Pages 1053-1073
نویسندگان
P. Kowalczyk, P.T. Piiroinen,