Normal forms and the multiple-times expansion method for finite-dimensional integrable Hamiltonian systems

MEHMET NACI OEZER; FILIZ TASCAN

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Normal forms and the multiple-times expansion method for finite-dimensional integrable Hamiltonian systems

机译：有限维可积哈密顿系统的范式和倍数展开方法

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The authors apply the method of multiple-times expansion to finite-dimensional integrable Hamiltonian systems of polynomial type in order to determine integrable Hamiltonian systems and to derive new integrable systems from previously known ones. Recursion operators for the derived integrable systems are obtained. Normal forms for finite-dimensional integrable Hamiltonian systems are also constructed. It is demonstrated that the Hamiltonians found by the multiple-times expansion method are indeed the normal form expansions.

机译：作者将多次扩展方法应用于多项式类型的有限维可积哈密顿系统，以便确定可积哈密顿系统并从先前已知的系统中导出新的可积系统。获得了派生可积系统的递归运算符。还构造了有限维可积哈密顿系统的范式。证明了通过多次膨胀法发现的哈密顿量确实是正规形式的膨胀。

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来源
《International journal of computer mathematics》 |2007年第12期|p.1819-1841|共23页
作者
MEHMET NACI OEZER; FILIZ TASCAN;
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作者单位

Department of Mathematics, Faculty of Arts and Science, University of Eskisehir Osmangazi, 26480, Eskisehir, Türkiye;

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原文格式 PDF
正文语种 eng
中图分类运筹学;
关键词
multiple-times expansoin method; normal forms; recursion operator; finite-dimensional integrable hamiltonian systems;

机译：多次展开法;正规形式;递归算子;有限维可积哈密顿系统;

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Normal forms and the multiple-times expansion method for finite-dimensional integrable Hamiltonian systems

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