Concavity of the Lagrangian for quasi-periodic orbits
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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.
Keywords
Small Neighborhood Irrational Number Order Preserve Invariant Circle Bump Function
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References
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© Birkhäuser Verlag 1982