Abstract
In this paper the monotonic twist theorem is extended to the quasiperiodic case and applied to establish regularity of motion in a system of a particle bouncing elastically between two quasiperiodically moving walls. It is shown that the velocity of the particle is uniformly bounded in time if the frequencies satisfy a Diophantine inequality. This answers a question recently asked in Levi and Zehnder (1995 SIAM J. Math. Anal. 26 1233-56).
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1123-1136 |
| Number of pages | 14 |
| Journal | Nonlinearity |
| Volume | 13 |
| Issue number | 4 |
| DOIs | |
| State | Published - Jul 2000 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics