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Non-commutative generalization of integrable quadratic ODE systems
Authors:Sokolov  V.  Wolf  T.
Affiliation:1.Landau Institute for Theoretical Physics, Chernogolovka, Russia
;2.UFABC, S?o Paulo, Brazil
;3.Department of Mathematics and Statistics, Brock University, St Catharines, ON, Canada
;
Abstract:Letters in Mathematical Physics - We find all homogeneous quadratic systems of ODEs with two dependent variables that have polynomial first integrals and satisfy the Kowalevski–Lyapunov test....
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