Symmetry and the Singular Point Analysis for Ordinary Differential Equations
نویسندگان
چکیده
منابع مشابه
Symmetry and the Singular Point Analysis for Ordinary Differential Equations
We show a direct relation between the singular point analysis and the symmetry for ordinary differential equations. It is proved that a system with a meromorphic solution allows Laurent solutions depending on m arbitrary parameters if it has m independent symmetries, regardless of the existence of single-valued first integrals. Applying the result to Hamiltonian systems, we show a pairing prope...
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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1992
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp/87.5.1075