Abstract
We study a C ∞-Liouville-integrable and analytic non-integrable Hamiltonian system. We will show that an irregular singular character plays a crucial role in the analytic non-integrability of the system.
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Partially supported by Grant-in-Aid for Scientific Research (No. 11640183), Ministry of Education, Science and Culture, Japan.
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Yoshino, M. Analytic non-integrable Hamiltonian systems and irregular singularity. Annali di Matematica 187, 555–562 (2008). https://doi.org/10.1007/s10231-007-0055-0
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DOI: https://doi.org/10.1007/s10231-007-0055-0