Grazing bifurcations in impact oscillators

Wai Chin, Edward OTT, Helena E Nusse, Celso Grebogi

Research output: Contribution to journalArticlepeer-review

297 Citations (Scopus)


Impact oscillators demonstrate interesting dynamical features. In particular, new types of bifurcations take place as such systems evolve from a nonimpacting to an impacting state (or vice versa), as a system parameter varies smoothly. These bifurcations are called grazing bifurcations. In this paper we analyze the different types of grazing bifurcations that can occur in a simple sinusoidally forced oscillator system in the presence of friction and a hard wall with which the impacts take place. The general picture we obtain exemplifies universal features that are predicted to occur in a wide variety of impact oscillator systems.
Original languageEnglish
Pages (from-to)4427-4444
Number of pages18
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number6
Publication statusPublished - 1 Dec 1994


  • linear-oscillator
  • dynamics


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