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.
|Number of pages||18|
|Journal||Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|Publication status||Published - 1 Dec 1994|
Chin, W., OTT, E., Nusse, H. E., & Grebogi, C. (1994). Grazing bifurcations in impact oscillators. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 50(6), 4427-4444. https://doi.org/10.1103/PhysRevE.50.4427