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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Two-parameter sliding bifurcations of periodic solutions in a dry-friction oscillator
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
نویسندگان
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