Spaces of initial conditions of Garnier system and its degenerate systems in two variables

Masaki Suzuki

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Spaces of initial conditions of Garnier system and its degenerate systems in two variables

机译：两个变量的Garnier系统及其退化系统的初始条件空间

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摘要

We construct spaces of initial conditions of Garnier system and its degenerate systems in two variables and describe them as symplectic manifolds. These systems are expressed as polynomial Hamiltonian systems on all affine charts.

机译：我们用两个变量构造卡尼尔系统及其退化系统的初始条件空间，并将其描述为辛流形。这些系统在所有仿射图上均表示为多项式哈密顿系统。

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来源
《Journal of the Mathematical Society of Japan》 |2006年第4期|p.1079-1117|共39页
作者
Masaki Suzuki;
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作者单位

Graduate School of Mathematical Sciences University of Tokyo Komaba 3-8-1, Meguro-ku Tokyo 153-8914 Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
garnier systems; degenerate gamier systems; spaces of initial conditions;

机译：卡尼尔系统;退化的gamier系统;初始条件空间;

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2. GLOBAL SOLUTION OF NONLINEAR DEGENERATE SYSTEMS OF FILTRATION TYPE IN SEVERAL SPACE VARIABLES [J] . LuGuofu 高校应用数学学报：英文版 . 1999,第001期

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3. Birational Symmetries, Hirota Bilinear Forms and Special Solutions of the Garnier Systems in 2-variables [J] . Tsuda Teruhisa Journal of mathematical sciences, The University of Tokyo . 2003,第2期

机译：双变量对称性，Hirota双线性形式和2变量Garnier系统的特殊解
4. State Variables, Initial Conditions and Transients ofFractional Order Derivatives and Systems [C] . Trigeassou Jean-Claude, Maamri Nezha, Oustaloup Alain Proceedings of the Fifth symposium on fractional differentiation and its applications . 2012

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5. On computations of foliations, inertial manifolds, and tracking initial conditions for dynamical systems. [D] . Chung, Yu-Min. 2013

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6. Transient dynamics in strongly nonlinear systems: optimization of initial conditions on the resonant manifold [O] . Nathan Perchikov, O. V. Gendelman -1

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7. Symmetric Hamiltonian of the Garnier system and its degenerate systems in two variables [O] . Sasano, Yusuke 2011

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8. Initial-Value Problem for Measure-Valued Solutions of a Canonical 2 x 2 Systemwith Linearly Degenerate Fields [R] . Kohn, W. E., Kohn, R. V. 1991

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Spaces of initial conditions of Garnier system and its degenerate systems in two variables

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