Crises in Mechanical Systems

  • M. Kleczka
  • E. Kreuzer
  • C. Wilmers
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)


In mechanical systems nonlinear effects due to stick slip and backlash are often observed. If such systems are harmonically driven, then besides well known bifurcation phenomena also sudden changes of the chaotic dynamics occur. These types of qualitative change of system’s behavior, the so-called crises, result from a collision between an unstable periodic orbit and a chaotic attractor. Different crises phenomena are discussed and it is demonstrated how the occurrence of crises can be determined numerically.


Periodic Solution Bifurcation Diagram Chaotic Attractor Pitchfork Bifurcation Unstable Solution 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • M. Kleczka
    • 1
  • E. Kreuzer
    • 2
  • C. Wilmers
    • 2
  1. 1.Institut B für MechanikUniversität StuttgartStuttgartGermany
  2. 2.Arbeitsbereich Meerestechnik IITU Hamburg-HarburgHamburgGermany

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