Invisible grazings and dangerous bifurcations in impacting systems: The problem of narrow-band chaos

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We discovered a narrow band of chaos close to the grazing condition for a simple soft impact oscillator. The phenomenon was observed experimentally for a range of system parameters. Through numerical stability analysis, we argue that this abrupt onset to chaos is caused by a dangerous bifurcation in which two unstable period-3 orbits, created at "invisible" grazings, take part.

Original languageEnglish
Article number037201
Number of pages4
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Issue number3
Publication statusPublished - 17 Mar 2009


  • bifurcation
  • chaos
  • impact (mechanical)
  • nonlinear dynamical systems
  • oscillators
  • oscillator

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