---
_id: '8894'
abstract:
- lang: eng
  text: Dry friction is a main factor of self-sustained oscillations in dynamic systems.
    The mathematical modelling of dry friction forces result in strong nonlinear equations
    of motion. The bifurcation behaviour of a deterministic system has been investigated
    by the bifurcation theory. The stability of stationary solutions has been analyzed
    by the eigenvalues of the Jacobian. Period doublings and Hopf-bifurcations as
    well as turning points could be determined with the program package BIFPACK. Phase
    plane plots of periodic and chaotic motions have been shown for a better understanding
    of the bifurcation diagrams. Both, unstable branches and stable coexisting solutions
    have been calculated. Several jumping effects, which are typical for nonlinear
    systems, have been found.
author:
- first_name: Peter
  full_name: Stelter, Peter
  last_name: Stelter
- first_name: Walter
  full_name: Sextro, Walter
  id: '21220'
  last_name: Sextro
citation:
  ama: 'Stelter P, Sextro W. Bifurcations in Dynamic Systems with Dry Friction. In:
    Seydel R, Schneider FW, Küpper T, Troger H, eds. <i>Bifurcation and Chaos: Analysis,
    Algorithms, Applications</i>. Vol 97. International Series of Numerical Mathematics
    / Internationale Schriftenreihe zur Numerischen Mathematik / S{\’e}rie Internationale
    d’Analyse Num{\’e}rique. Birkhäuser Basel; 1991:343-347. doi:<a href="https://doi.org/10.1007/978-3-0348-7004-7_44">10.1007/978-3-0348-7004-7_44</a>'
  apa: 'Stelter, P., &#38; Sextro, W. (1991). Bifurcations in Dynamic Systems with
    Dry Friction. In R. Seydel, F. W. Schneider, T. Küpper, &#38; H. Troger (Eds.),
    <i>Bifurcation and Chaos: Analysis, Algorithms, Applications</i> (Vol. 97, pp.
    343–347). Birkhäuser Basel. <a href="https://doi.org/10.1007/978-3-0348-7004-7_44">https://doi.org/10.1007/978-3-0348-7004-7_44</a>'
  bibtex: '@inbook{Stelter_Sextro_1991, series={International Series of Numerical
    Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / S{\’e}rie
    Internationale d’Analyse Num{\’e}rique}, title={Bifurcations in Dynamic Systems
    with Dry Friction}, volume={97}, DOI={<a href="https://doi.org/10.1007/978-3-0348-7004-7_44">10.1007/978-3-0348-7004-7_44</a>},
    booktitle={Bifurcation and Chaos: Analysis, Algorithms, Applications}, publisher={Birkhäuser
    Basel}, author={Stelter, Peter and Sextro, Walter}, editor={Seydel, R. and Schneider,
    F.W. and Küpper, T. and Troger, H.Editors}, year={1991}, pages={343–347}, collection={International
    Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen
    Mathematik / S{\’e}rie Internationale d’Analyse Num{\’e}rique} }'
  chicago: 'Stelter, Peter, and Walter Sextro. “Bifurcations in Dynamic Systems with
    Dry Friction.” In <i>Bifurcation and Chaos: Analysis, Algorithms, Applications</i>,
    edited by R. Seydel, F.W. Schneider, T. Küpper, and H. Troger, 97:343–47. International
    Series of Numerical Mathematics / Internationale Schriftenreihe Zur Numerischen
    Mathematik / S{\’e}rie Internationale d’Analyse Num{\’e}rique. Birkhäuser Basel,
    1991. <a href="https://doi.org/10.1007/978-3-0348-7004-7_44">https://doi.org/10.1007/978-3-0348-7004-7_44</a>.'
  ieee: 'P. Stelter and W. Sextro, “Bifurcations in Dynamic Systems with Dry Friction,”
    in <i>Bifurcation and Chaos: Analysis, Algorithms, Applications</i>, vol. 97,
    R. Seydel, F. W. Schneider, T. Küpper, and H. Troger, Eds. Birkhäuser Basel, 1991,
    pp. 343–347.'
  mla: 'Stelter, Peter, and Walter Sextro. “Bifurcations in Dynamic Systems with Dry
    Friction.” <i>Bifurcation and Chaos: Analysis, Algorithms, Applications</i>, edited
    by R. Seydel et al., vol. 97, Birkhäuser Basel, 1991, pp. 343–47, doi:<a href="https://doi.org/10.1007/978-3-0348-7004-7_44">10.1007/978-3-0348-7004-7_44</a>.'
  short: 'P. Stelter, W. Sextro, in: R. Seydel, F.W. Schneider, T. Küpper, H. Troger
    (Eds.), Bifurcation and Chaos: Analysis, Algorithms, Applications, Birkhäuser
    Basel, 1991, pp. 343–347.'
date_created: 2019-04-15T07:55:30Z
date_updated: 2022-01-06T07:04:05Z
department:
- _id: '151'
doi: 10.1007/978-3-0348-7004-7_44
editor:
- first_name: R.
  full_name: Seydel, R.
  last_name: Seydel
- first_name: F.W.
  full_name: Schneider, F.W.
  last_name: Schneider
- first_name: T.
  full_name: Küpper, T.
  last_name: Küpper
- first_name: H.
  full_name: Troger, H.
  last_name: Troger
intvolume: '        97'
language:
- iso: eng
page: 343-347
publication: 'Bifurcation and Chaos: Analysis, Algorithms, Applications'
publication_identifier:
  isbn:
  - 978-3-0348-7006-1
publisher: Birkhäuser Basel
series_title: International Series of Numerical Mathematics / Internationale Schriftenreihe
  zur Numerischen Mathematik / S{\'e}rie Internationale d'Analyse Num{\'e}rique
status: public
title: Bifurcations in Dynamic Systems with Dry Friction
type: book_chapter
user_id: '55222'
volume: 97
year: '1991'
...