Peer-Reviewed Journal Details
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Kowalczyk, P,Piiroinen, PT
2008
June
Physica D
Two-parameter sliding bifurcations of periodic solutions in a dry-friction oscillator
Published
()
Optional Fields
numerical continuation sliding bifurcations codimension-two points BORDER-COLLISION BIFURCATIONS IMPACT OSCILLATORS FILIPPOV SYSTEMS GRAZING-INCIDENCE DISCONTINUITIES RESONANCE BEHAVIOR CHAOS SELF MAPS
237
1053
1073
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 neighbourbood of these points. (C) 2008 Elsevier B.V. All rights reserved.
DOI 10.1016/j.physd.2007.12.007
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