Abstract
After two examples of the singular point analysis, a sufficient condition (criterion) for the non-existence of an additional analytic integral is given for n-degree-of-freedom Hamiltonian systems with a homogeneous potential, which justifies the validity of the singular point analysis. This criterion is based on Ziglin’s theorem, which will be reviewed extensively from the basic ideas.
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© 1994 Springer Science+Business Media New York
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Yoshida, H. (1994). Non-Integrability Criterion of Hamiltonian Systems based on Ziglin’s Theorem and its Relation to the Singular Point Analysis. In: Seimenis, J. (eds) Hamiltonian Mechanics. NATO ASI Series, vol 331. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0964-0_1
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DOI: https://doi.org/10.1007/978-1-4899-0964-0_1
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