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Periodic Orbits Close to Grazing for an Impact Oscillator
KTH, School of Engineering Sciences (SCI), Mechanics.
2013 (English)In: Recent Trends in Dynamical Systems: Proceedings of a Conference in Honor of J├╝rgen Scheurle, Springer, 2013, 25-37 p.Conference paper, Published paper (Refereed)
Abstract [en]

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.
Series
Springer Proceedings in Mathematics and Statistics, ISSN 2194-1009 ; 35
Keyword [en]
Impact oscillators, Periodic orbits, Surface approach
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-143317DOI: 10.1007/978-3-0348-0451-6_2Scopus ID: 2-s2.0-84893627693ISBN: 978-303480450-9 (print)OAI: oai:DiVA.org:kth-143317DiVA: diva2:706351
Conference
2012 International Conference Recent Trends in Dynamical Systems; Munich; Germany; 11 January 2012 through 13 January 2012
Note

QC 20140320

Available from: 2014-03-20 Created: 2014-03-19 Last updated: 2014-03-20Bibliographically approved

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Total: 23 hits
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