Abstract
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 language | English |
---|---|
Pages (from-to) | 4427-4444 |
Number of pages | 18 |
Journal | Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
Volume | 50 |
Issue number | 6 |
DOIs | |
Publication status | Published - 1 Dec 1994 |
Keywords
- linear-oscillator
- dynamics