Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1897932 | Physica D: Nonlinear Phenomena | 2008 | 21 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
P. Kowalczyk, P.T. Piiroinen,