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Here we call canonical transformations whatA. Wintner calls conservative canonical transformations. SeeA. Wintner:The Analytical Foundations of Celestial Mechanics, sect.35 (Princeton, N.J., 1947).
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Our notations follow as closely as possible those ofR. Abraham andJ. E. Marsden:Foundations of Mechanics (New York, N.Y., 1967).
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Marmo, G., Simoni, A. Q-dynamical systems and constants of motion. Lett. Nuovo Cimento 15, 179–184 (1976). https://doi.org/10.1007/BF02727478
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DOI: https://doi.org/10.1007/BF02727478