A Mathematica package to derive weight-homogeneous decompositions of vector fields

22nd International Conference on Integrable Systems and Quantum Symmetries

Kycia, Radoslaw Antoni^1

University of Warsaw, Faculty of Mathematics, Informatics and Mechanics, Banacha 2, Warsaw

02-097, Poland^1

关键词: Homogeneous decomposition;    Integrability;    Mathematica packages;    Painleve analysis;    Polynomial vector field;    Vector fields;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/563/1/012018/pdf
DOI  :  10.1088/1742-6596/563/1/012018

来源: IOP

【 摘 要 】

Description of a Mathematica package that performs weight-homogeneous decompositions of polynomial vector fields will be presented. The package has also functions that compute the Kovalevskaya matrix and exponents. Some details of implementation and examples will be also outlined. It can be used in the testing of integrability of dynamical systems described by vector fields as well as in the Painleve analysis.