Abstract
It is shown how to produce new examples of integrable Hamiltonian dynamical systems of differential geometric origin. These are normal geodesic flows of homogeneous Carnot-Carathéodory metrics. The relation to previous descriptions of such flows via non-Hamiltonian methods and to problems of analytic mechanics is discussed.
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Taimanov, I.A. Integrable geodesic flows of nonholonomic metrics. Journal of Dynamical and Control Systems 3, 129–147 (1997). https://doi.org/10.1007/BF02471765
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DOI: https://doi.org/10.1007/BF02471765