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Titlebook: Computer Algebra in Scientific Computing; 24th International W François Boulier,Matthew England,Evgenii V. Vorozh Conference proceedings 20

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Alexander Ziegler,Thomas Peisl,Alev Atesequations of motion cannot be written in symbolic form, only in some special case it is integrable. A very interesting peculiarity of the system is an existence of a state of dynamical equilibrium when the oscillating body of smaller mass balances a body of larger mass. This state is described by pe
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https://doi.org/10.1007/978-3-030-85521-5f two- and one-dimensional invariant manifolds are presented, and the manifolds themselves are found with the use of computer algebra tools. From a mechanical point of view, these solutions correspond to equilibrium positions of the system. Their instability in the first approximation is proved.
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Justus Hofmeister,Dietmar Kinalzyknd in the C programming language. Our implementation focuses on the two-dimensional and three-dimensional cases. We show that our algorithm computes the integer hull efficiently and can deal with polyhedral sets with large numbers of integer points.
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