{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T15:26:14Z","timestamp":1787239574150,"version":"build-2736575974"},"reference-count":14,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Dyn. Syst."],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>This paper is concerned with the local bifurcation analysis around typical singularities of piecewise smooth planar dynamical systems. Three-parameter families of a class of nonsmooth vector fields are studied, and the bifurcation diagrams are exhibited. Our main results describe a particular unfolding of the so-called fold-cusp singularity by means of the variation of 3 parameters.<\/jats:p>","DOI":"10.1137\/100817309","type":"journal-article","created":{"date-parts":[[2012,10,18]],"date-time":"2012-10-18T20:15:50Z","timestamp":1350591350000},"page":"1402-1424","source":"Crossref","is-referenced-by-count":9,"title":["On 3-Parameter Families of Piecewise Smooth Vector Fields in the Plane"],"prefix":"10.1137","volume":"11","author":[{"given":"Claudio A.","family":"Buzzi","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tiago","family":"de Carvalho","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Marco A.","family":"Teixeira","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2012,10,18]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1137\/050625060"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127406015015"},{"key":"atypb3","unstructured":"M. di Bernardo, C. J. Budd, A. R. Champneys, and P. Kowalczyk,\n                      Piecewise-Smooth Dynamical Systems-Theory and Applications\n                      , Springer-Verlag, Berlin, 2008."},{"key":"atypb4","doi-asserted-by":"crossref","unstructured":"C. A. Buzzi, T. de Carvalho, and P. R. da Silva,\n                      Closed Poli-trajectories and Poincare\u0301 index of non-smooth vector fields on the plane\n                      , J. Dynam. Control Systems, (2013), to appear.","DOI":"10.1007\/s10883-013-9169-4"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.3934\/dcds.2000.6.609"},{"key":"atypb7","doi-asserted-by":"crossref","unstructured":"A. F. Filippov,\n                      Differential Equations with Discontinuous Righthand Sides\n                      , Math. Appl., Kluwer Academic Publishers, Dordrecht, The Netherlands, 1988.","DOI":"10.1007\/978-94-015-7793-9"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.3934\/dcdsb.2004.4.457"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2010.11.016"},{"key":"atypb10","first-page":"16","volume":"5","author":"Kozlova V. S.","year":"1984","journal-title":"Vest. Moskov. Univ. Mat."},{"key":"atypb11","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127403007874"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(77)90180-2"},{"key":"atypb13","first-page":"257","volume":"53","author":"Teixeira M. A.","year":"1991","journal-title":"An. Acad. Brasil. Cie\u0302nc."},{"key":"atypb14","first-page":"6697","author":"Teixeira M. A.","year":"2009","journal-title":"New York"},{"key":"atypb15","first-page":"21","volume":"27","author":"Vishik S. M.","year":"1972","journal-title":"Vestn. Moskov. Univ. Mat."}],"container-title":["SIAM Journal on Applied Dynamical Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/100817309","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T14:40:22Z","timestamp":1787236822000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/100817309"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,1]]},"references-count":14,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2012,1]]}},"alternative-id":["10.1137\/100817309"],"URL":"https:\/\/doi.org\/10.1137\/100817309","relation":{},"ISSN":["1536-0040"],"issn-type":[{"value":"1536-0040","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,1]]}}}