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Integrability from point symmetries in a family of cosmological Horndeski Lagrangians

) 34. K. Sundermeyer , Constrained Dynamics, Lect. Notes Phys . Vol. 169 , Springer-Verlag ( 1982 ) 35. T. Christodoulakis, N. Dimakis , Petros A. Terzis, Phys . A: Math. Theor. 47 , 095202 ( 2014 ) 36 ... , R. De Ritis, C. Rubano , P. Scudellaro , Riv. Nuovo Cim . 19 , 1 ( 1996 ) 20. S. Capozziello , E. Piedipalumbo , C. Rubano , P. Scudellaro, Phys. Rev. D. 80 , 104030 ( 2009 ) 21. P.A. Terzis , N