{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,30]],"date-time":"2026-09-30T19:52:57Z","timestamp":1790797977602,"version":"4.1.0"},"reference-count":31,"publisher":"World Scientific Pub Co Pte Ltd","issue":"10","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2003,10]]},"abstract":"<jats:p>Recent investigations of nonsmooth dynamical systems have resulted in the study of a class of novel bifurcations termed as sliding bifurcations. These bifurcations are a characteristic feature of so-called Filippov systems, that is, systems of ordinary differential equations (ODEs) with discontinuous right-hand sides. In this paper we show that sliding bifurcations also play an important role in organizing the dynamics of dry friction oscillators, which are a subclass of nonsmooth systems. After introducing the possible codimension-1 sliding bifurcations of limit cycles, we show that these bifurcations organize different types of \"slip to stick-slip\" transitions in dry friction oscillators. In particular, we show both numerically and analytically that a sliding bifurcation is an important mechanism causing the sudden jump to chaos previously unexplained in the literature on friction systems. To analyze such bifurcations we make use of a new analytical method based on the study of appropriate normal form maps describing sliding bifurcations. Also, we explain the circumstances under which the theory of so-called border-collision bifurcations can be used in order to explain the onset of complex behavior in stick-slip systems.<\/jats:p>","DOI":"10.1142\/s021812740300834x","type":"journal-article","created":{"date-parts":[[2003,12,1]],"date-time":"2003-12-01T09:06:11Z","timestamp":1070269571000},"page":"2935-2948","source":"Crossref","is-referenced-by-count":154,"title":["SLIDING BIFURCATIONS: A NOVEL MECHANISM FOR THE SUDDEN ONSET OF CHAOS IN DRY FRICTION OSCILLATORS"],"prefix":"10.1142","volume":"13","author":[{"given":"M.","family":"DI BERNARDO","sequence":"first","affiliation":[{"name":"Department of Engineering Mathematics, University of Bristol, BS8 1TR, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"P.","family":"KOWALCZYK","sequence":"additional","affiliation":[{"name":"Department of Engineering Mathematics, University of Bristol, BS8 1TR, UK"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A.","family":"NORDMARK","sequence":"additional","affiliation":[{"name":"Department of Mechanics, Royal Institute of Technology, Sweden"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","volume-title":"Theory of Oscillators","author":"Andronov A. 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