Periodic orbits close to grazing for an impact oscillator
Periodic orbits close to grazing for an impact oscillator
We show how the geometric impact surface approach to the dynamics of an impact oscillator provides an immediate visualisation 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
978-3034804509
25-37
Chillingworth, D.R.J
39d011b7-db33-4d7d-8dc7-c5a4e0a61231
Nordmark, A.B.
fbaa47c1-9720-41e4-8e2b-28667e3d6e7d
27 July 2013
Chillingworth, D.R.J
39d011b7-db33-4d7d-8dc7-c5a4e0a61231
Nordmark, A.B.
fbaa47c1-9720-41e4-8e2b-28667e3d6e7d
Chillingworth, D.R.J and Nordmark, A.B.
(2013)
Periodic orbits close to grazing for an impact oscillator.
Johann, Andreas, Kruse, Hans-Peter, Rupp, Florian and Schmitz, Stephan
(eds.)
In Recent Trends in Dynamical Systems. Proceedings of a Conference in Honor of Jürgen Scheurle.
Springer.
.
(doi:10.1007/978-3-0348-0451-6_2).
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Conference or Workshop Item
(Paper)
Abstract
We show how the geometric impact surface approach to the dynamics of an impact oscillator provides an immediate visualisation 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
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Published date: 27 July 2013
Venue - Dates:
Conference in Honor of Jürgen Scheurle, Munchen, Germany, 2012-01-11 - 2012-01-13
Organisations:
Pure Mathematics
Identifiers
Local EPrints ID: 339815
URI: http://eprints.soton.ac.uk/id/eprint/339815
ISBN: 978-3034804509
ISSN: 2194-1009
PURE UUID: d4cc4d25-5fb2-4a86-bc07-674b973860fa
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Date deposited: 31 May 2012 10:51
Last modified: 14 Mar 2024 11:15
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Contributors
Author:
A.B. Nordmark
Editor:
Andreas Johann
Editor:
Hans-Peter Kruse
Editor:
Florian Rupp
Editor:
Stephan Schmitz
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