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Non-generic cusps
Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, 402 N. Blackford Street, Indianapolis, Indiana 46202-3216 – and – CMUP, Rua do Campo Alegre 687, 4169-007 Porto, Portugal .
Department of Mathematical Sciences, Indiana University-Purdue University Indianapolis, 402 N. Blackford Street, Indianapolis, Indiana 46202-3216.
2011 (English)In: Transactions of the American Mathematical Society, ISSN 0002-9947, E-ISSN 1088-6850, Vol. 363, no 7, 3553-3572 p.Article in journal (Refereed) Published
Abstract [en]

We find the order of contact of the boundaries of the cusp for two-parameter families of vector fields on the real line or diffeomorphisms of the real line, for cusp bifurcations of codimensions 1 and 2. Moreover, we create a machinery that can be used for the same problem in higher codimensions and perhaps for other, similar problems.

Place, publisher, year, edition, pages
2011. Vol. 363, no 7, 3553-3572 p.
Keyword [en]
Cusp bifurcation, tongues, order of contact
National Category
Other Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-71071DOI: 10.1090/S0002-9947-2011-05114-7ISI: 000292811000007Scopus ID: 2-s2.0-79953005993OAI: oai:DiVA.org:kth-71071DiVA: diva2:486489
Note
QC 20120131Available from: 2012-01-30 Created: 2012-01-30 Last updated: 2017-12-08Bibliographically approved

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