A system of four ODEs: the singularity analysis
classification
🌊 nlin.SI
math-phmath.CAmath.DSmath.MP
keywords
analysissystemfourodesparametersingularitycarriedcontain
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The singularity analysis is carried out for a system of four first-order quadratic ODEs with a parameter, which was proposed recently by Golubchik and Sokolov. A transformation of dependent variables is revealed by the analysis, after which the transformed system possesses the Painlev\'{e} property and does not contain the parameter.
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