Geodesic
Nonlocal Constants of Motions of Equations
Russian journal of nonlinear dynamics, Tome 18 (2022) no. 1, pp. 103-118

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We describe a method to generate nonlocal constants of motion for a special class of nonlinear ODEs. We employ the method of the generalized Sundman transformation to obtain certain new nonlocal first integrals of autonomous second-order ordinary differential equations belonging to the classification scheme developed by Painlevé and Gambier.
Keywords: Sundman transformation, symmetry, nonlocal first integrals, Jacobi equation.
Mots-clés : Painlevé –Gambier 
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     title = {Nonlocal {Constants} of {Motions} of {Equations}},
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P. Guha; A. G. Choudhury; B. Khanra; P. G. L. Leach. Nonlocal Constants of Motions of Equations. Russian journal of nonlinear dynamics, Tome 18 (2022) no. 1, pp. 103-118. http://geodesic.mathdoc.fr/item/ND_2022_18_1_a5/