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math-ph2021★ 2 cited
Non-integrability of the Kepler and the two-body problem on the Heisenberg group
Tomasz Stachowiak, Andrzej J. Maciejewski
The analog of the Kepler system defined on the Heisenberg group introduced by Montgomery and Shanbrom in [Fields Inst. Commun., Vol. 73, Springer, New York, 2015, 319-342, arXiv:12…
math-ph2003★ 16 cited
Non-integrability of the generalised spring-pendulum problem
Andrzej J. Maciejewski, Maria Przybylska, Jacques-Arthur Weil
We investigate a generalisation of the three dimensional spring-pendulum system. The problem depends on two real parameters , where is the Young modulus of the spring an…