Universal grazing bifurcations in impact oscillators

F Casas, W Chin, C Grebogi, E Ott

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)


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 languageEnglish
Pages (from-to)134-139
Number of pages6
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number1
Publication statusPublished - Jan 1996



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