Concavity of the Lagrangian for quasi-periodic orbits |
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Authors: | John N Mather |
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Institution: | (1) Department of Mathematics, Princeton University, Fine Hall, Box 37, 08544 Princeton, NJ, USA |
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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 |
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Keywords: | |
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