Periodic Orbits Close to Grazing for an Impact Oscillator
2013 (English)In: Recent Trends in Dynamical Systems: Proceedings of a Conference in Honor of Jürgen Scheurle, Springer, 2013, 25-37 p.Conference paper (Refereed)
We show how the geometric impact surface approach to the dynamics of an impact oscillator provides an immediate visualization of the criteria that determine the existence of an impacting periodic orbit close to grazing. We recover the criteria set out earlier by A. Nordmark and indicate how the geometric setting and singularity geometry may be exploited to yield appropriate criteria in degenerate situations where the Nordmark criteria would not apply.
Place, publisher, year, edition, pages
Springer, 2013. 25-37 p.
, Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009 ; 35
Impact oscillators, Periodic orbits, Surface approach
Engineering and Technology
IdentifiersURN: urn:nbn:se:kth:diva-143317DOI: 10.1007/978-3-0348-0451-6_2ScopusID: 2-s2.0-84893627693ISBN: 978-303480450-9OAI: oai:DiVA.org:kth-143317DiVA: diva2:706351
2012 International Conference Recent Trends in Dynamical Systems; Munich; Germany; 11 January 2012 through 13 January 2012
QC 201403202014-03-202014-03-192014-03-20Bibliographically approved