55 citations · 486 across the 49 of their papers we have counts for
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math-ph2015★ 18 cited
Jacobi multipliers, non-local symmetries and nonlinear oscillators
J. F. Cariñena, J. de Lucas, M. F. Rañada
Constants of motion, Lagrangians and Hamiltonians admitted by a family of relevant nonlinear oscillators are derived using a geometric formalism. The theory of the Jacobi last mult…
math.CA2015★ 4 cited
Quasi-Lie families, schemes, invariants and their applications to Abel equations
J. F. Cariñena, J. de Lucas
This work analyses types of group actions on families of -dependent vector fields of a particular class, the hereby called quasi-Lie families. We devise methods to obtain the de…