Concavity of the Lagrangian for quasi-periodic orbits |
| |
| Authors: | John N Mather |
| |
| Institution: | (1) Department of Mathematics, Princeton University, Fine Hall, Box 37, 08544 Princeton, NJ, USA |
| |
| Abstract: | Percival introduced a “Lagrangian” for finding quasi-periodic orbits. For suitable area preserving mappings, we show that
Percival's “Lagrangian” is strictly concave with respect to an appropriate affine structure on its domain. Consequently, the
“Lagrangian” admits a unique maximum in the case of irrational frequencies.
Supported by NSF grant MCS 79-02017 |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
