Periodic Solutions and Chaotic Dynamics in Forced Impact Oscillators
نویسندگان
چکیده
It is shown that a periodically forced impact oscillator may exhibit chaotic dynamics on two symbols, as well as an infinity of periodic solutions. Two cases are considered, depending if the impact velocity is finite or infinite. In the second case, the Poincaré map is well defined by continuation of the energy. The proof combines the study of phase plane curves together with the “stretching along paths” notion. 2000 MSC. 34C28, 54H20.
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ورودعنوان ژورنال:
- SIAM J. Applied Dynamical Systems
دوره 12 شماره
صفحات -
تاریخ انتشار 2013