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math.DS2022
Projective Integrable Mechanical Billiards
Airi Takeuchi, Lei Zhao
In this paper, we use the projective dynamical approach to integrable mechanical billiards as in [Zhao, 2021] to establish the integrability of natural mechanical billiards with th…
math-ph2022★ 5 cited
Darboux inversions of the Kepler problem
Alain Albouy, Lei Zhao
While extending a famous problem asked and solved by Bertrand in 1873, Darboux found in 1877 a family of abstract surfaces of revolution, each endowed with a force function, with t…