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nlin.SI2012
Explicit Construction of First Integrals by Singularity Analysis in Nonlinear Dynamical Systems
Ch. Efthymiopoulos, T. Bountis, T. Manos
The Painleve and weak Painleve conjectures have been used widely to identify new integrable nonlinear dynamical systems. The calculation of the integrals relies though on methods q…
nlin.SI2008
Explicit Construction of First Integrals with Quasi-monomial Terms from the Painlevé Series
Christos Efthymiopoulos, Tassos Bountis, Thanos Manos
The Painlevé and weak Painlevé conjectures have been used widely to identify new integrable nonlinear dynamical systems. For a system which passes the Painlevé test, the calculatio…