On some Hamiltonian structures of Painlevé systems, II

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Abstract

We give a symplectic description of the fiber space for each J-th Painlevé system (J = V, IV, III, II) which was constructed by K. Okamoto. Hamiltonian function in every chart is a polynomial of the canonical coordinates. © 1999, The Mathematical Society of Japan. All rights reserved.

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Matano, T., Matumiya, A., & Takano, K. (1999). On some Hamiltonian structures of Painlevé systems, II. Journal of the Mathematical Society of Japan, 51(4), 843–866. https://doi.org/10.2969/jmsj/05140843

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