Analytic non-integrable Hamiltonian systems and irregular singularity |
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Authors: | Masafumi Yoshino |
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Affiliation: | (1) Department of Mathematics, Graduate School of Science, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima, Hiroshima 739-8526, Japan |
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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. Partially supported by Grant-in-Aid for Scientific Research (No. 11640183), Ministry of Education, Science and Culture, Japan. |
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Keywords: | Liouville integrability Analytic non-integrability Irregular singularity |
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