• DocumentCode
    571226
  • Title

    Chaos and transient chaos in a simple oscillator with Coulomb friction law

  • Author

    Licskó, Gábor ; Csernák, Gábor

  • Author_Institution
    Dept. of Appl. Mech., Budapest Univ. of Technol. & Econ., Budapest, Hungary
  • fYear
    2012
  • fDate
    6-11 Aug. 2012
  • Firstpage
    121
  • Lastpage
    124
  • Abstract
    In this paper we investigate a one degree-of-freedom friction oscillator that can exhibit chaotic behaviour. Moreover, this mechanical system also shows the peculiarities of transient chaos at certain parameters. We use known numerical techniques to unfold and visualize these phenomena and to calculate one of the most important measure of chaos and transient chaos, the Lyapunov exponent.
  • Keywords
    Lyapunov methods; chaos; friction; numerical analysis; oscillators; Coulomb friction law; Lyapunov exponent; chaos measurement calculation; chaotic behaviour; mechanical system; numerical techniques; one degree-of-freedom friction oscillator; phenomena unfolding; phenomena visualization; simple oscillator; transient chaos; Bifurcation; Chaos; Computational modeling; Friction; Mathematical model; Oscillators; Transient analysis;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Nonlinear Science and Complexity (NSC), 2012 IEEE 4th International Conference on
  • Conference_Location
    Budapest
  • Print_ISBN
    978-1-4673-2702-2
  • Electronic_ISBN
    978-1-4673-2701-5
  • Type

    conf

  • DOI
    10.1109/NSC.2012.6304739
  • Filename
    6304739