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Periodic orbits close to grazing for an impact oscillator

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
2194-1009
35, Part 1
25-37
Springer
Chillingworth, D.R.J
39d011b7-db33-4d7d-8dc7-c5a4e0a61231
Nordmark, A.B.
fbaa47c1-9720-41e4-8e2b-28667e3d6e7d
Johann, Andreas
Kruse, Hans-Peter
Rupp, Florian
Schmitz, Stephan
Chillingworth, D.R.J
39d011b7-db33-4d7d-8dc7-c5a4e0a61231
Nordmark, A.B.
fbaa47c1-9720-41e4-8e2b-28667e3d6e7d
Johann, Andreas
Kruse, Hans-Peter
Rupp, Florian
Schmitz, Stephan

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. pp. 25-37 . (doi:10.1007/978-3-0348-0451-6_2).

Record type: 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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More information

Published date: 27 July 2013
Venue - Dates: Conference in Honor of Jürgen Scheurle, Germany, 2012-01-11 - 2012-01-13
Organisations: Pure Mathematics

Identifiers

Local EPrints ID: 339815
URI: https://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: 18 Jul 2017 05:51

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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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