Abstract
A recent result of J. Mather [1] about the existence of quasi-periodic orbits for twist maps is derived from an appropriately modified version of G. D. Birkhoff's classical theorem concerning periodic orbits. A proof of Birkhoff's theorem is given using a simplified geometric version of Mather's arguments. Additional properties of Mather's invariant sets are discussed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 185-194 |
| Number of pages | 10 |
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 2 |
| Issue number | 2 |
| DOIs | |
| State | Published - Jun 1982 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics
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