57 citations · 163 across the 21 of their papers we have counts for
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A generalization of the S-function method applied to a Duffing-Van der Pol forced oscillator
L. G. S. Duarte, L. A. C. P. da Mota
In [1,2] we have developed a method (we call it the S-function method) that is successful in treating certain classes of rational second order ordinary differential equations (rati…
Solving 1ODEs with functions
L. G. S. Duarte, L. A. C. P. da Mota, A. B. M. M. Queiroz
Here we present a new approach to deal with first order ordinary differential equations (1ODEs), presenting functions. This method is an alternative to the one we have presented in…
Dealing with Rational Second Order Ordinary Differential Equations where both Darboux and Lie Find It Difficult: The -function Method
J. Avellar, M. S. Cardoso, L. G. S. Duarte +1
Here we present a new approach to search for first order invariants (first integrals) of rational second order ordinary differential equations. This method is an alternative to the…