Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
A codimension-two scenario of sliding solutions in grazing-sliding bifurcations
KTH, School of Engineering Sciences (SCI), Mechanics, Biomechanics.
2006 (English)In: Nonlinearity, ISSN 0951-7715, E-ISSN 1361-6544, Vol. 19, no 1, 1-26 p.Article in journal (Refereed) Published
Abstract [en]

This paper investigates codimension-two bifurcations that involve grazing-sliding and fold scenarios. An analytical unfolding of this novel codimension-two bifurcation is presented. Using the discontinuity mapping techniques it is shown that the fold curve is one-sided and cubically tangent to the grazing curve locally to the codimension-two point. This theory is then applied to explain the dynamics of a dry-friction oscillator where such a codimension-two point has been found. In particular, the presence and the character of essential bifurcation curves that merge at the codimension-two point are confirmed. This allows us to study the dynamics away from the codimension-two point using a piecewise affine approximation of the normal form for grazing-sliding bifurcations and explain the dynamics observed in the friction system.

Place, publisher, year, edition, pages
2006. Vol. 19, no 1, 1-26 p.
Keyword [en]
border collision bifurcations, friction oscillators, systems, chaos
Identifiers
URN: urn:nbn:se:kth:diva-15398DOI: 10.1088/0951-7715/19/1/001ISI: 000234980600002Scopus ID: 2-s2.0-29144489480OAI: oai:DiVA.org:kth-15398DiVA: diva2:333439
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Nordmark, Arne B.
By organisation
Biomechanics
In the same journal
Nonlinearity

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 45 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf