Many-Valuedness of First Integrals, Their Domains and Many-Valued Solutions : General and Mathematical Physics
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概要
- 論文の詳細を見る
Many-valuedness of first integral is studied through the 2-dimension Lotka-Volterra model and it is proved that this many-valuedness brings nonexistence of the Puiseux expansions of the general solutions. In other words, a system with a certain many-valued first integral does not have the weak Painleve property. This implies that many-valuedness is necessary for their general solutions. In physical case, we consider the influence of the logarithmic branchings of first integrals on real motion and show that a first integral including logarithmic functions becomes single-valued almost every where in the real domain under a certain condition of singularity sets of the first integral.
- 理論物理学刊行会の論文
- 1992-01-25
著者
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ISHII Masaharu
Department of Biotechnology, The University of Tokyo
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Ishii Masaharu
Department Of Biotechnology Graduate School Of Agricultural And Life Sciences The University Of Toky
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Ishii Masaharu
Department Of Physics Nagoya University
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ISHII Masaharu
Department of Physics, Nagoya University
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ISHII Masaharu
Department of Agricultural Chemistry, The University of Tokyo
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