{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T13:31:57Z","timestamp":1787232717166,"version":"build-2736575974"},"reference-count":40,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Dyn. Syst."],"published-print":{"date-parts":[[2010,1]]},"abstract":"<jats:p>In this paper, we analytically consider sliding bifurcations of periodic orbits in the dry-friction oscillator. The system depends on two parameters: F, which corresponds to the intensity of the friction, and $\\omega$, the frequency of the forcing. We prove the existence of infinitely many codimension-2 bifurcation points and focus our attention on two of them: $A_1:=(\\omega\\ii, F)=(2, 1\/3)$ and $B_1:=(\\omega\\ii, F)=(3,0)$. We derive analytic expressions in ($\\omega\\ii$, F) parameter space for the codimension-1 bifurcation curves that emanate from $A_1$ and $B_1$. Our results show excellent agreement with the numerical calculations of Kowalczyk and Piiroinen [Phys. D, 237 (2008), pp. 1053\u20131073].<\/jats:p>","DOI":"10.1137\/090766826","type":"journal-article","created":{"date-parts":[[2010,7,6]],"date-time":"2010-07-06T18:04:54Z","timestamp":1278439494000},"page":"769-798","source":"Crossref","is-referenced-by-count":55,"title":["An Analytical Approach to Codimension-2 Sliding Bifurcations in the Dry-Friction Oscillator"],"prefix":"10.1137","volume":"9","author":[{"given":"Marcel","family":"Guardia","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"S. John","family":"Hogan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tere M.","family":"Seara","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,7,6]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/19\/3\/001"},{"key":"R2","doi-asserted-by":"crossref","unstructured":"S. Banerjee and G. C. Verghese,\n                      Nonlinear Phenomena in Power Electronics: Attractors, Bifurcations, Chaos, and Nonlinear Control\n                      , IEEE Press, Piscataway, NJ, 2001.","DOI":"10.1109\/9780470545393"},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-2789(99)00016-0"},{"key":"R4","first-page":"311","volume":"9","author":"Brogliato B. B.","year":"2003","journal-title":"Eur. J. 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