### Abstract

We examine the bifurcations of a piecewise smooth map that captures the universal properties of impact oscillators near grazing. In particular, we study periodic orbits with one impact per period and the way they are involved in the grazing bifurcations. We also show some phenomena that these orbits exhibit at grazing for some families of parameter values.

Original language | English |
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Pages (from-to) | 134-139 |

Number of pages | 6 |

Journal | Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |

Volume | 53 |

Issue number | 1 |

Publication status | Published - Jan 1996 |

### Keywords

- SYSTEMS

## Cite this

Casas, F., Chin, W., Grebogi, C., & Ott, E. (1996). Universal grazing bifurcations in impact oscillators.

*Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics*,*53*(1), 134-139.