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Analytic non-integrable Hamiltonian systems and irregular singularity
Authors:Masafumi Yoshino
Affiliation:(1) Department of Mathematics, Graduate School of Science, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima, Hiroshima 739-8526, Japan
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.
Keywords:Liouville integrability  Analytic non-integrability  Irregular singularity
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