57 citations · 164 across the 25 of their papers we have counts for
3 papers · 2 filters
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…
The search for Invariants for 3D Systems of 1ODEs - a new Method and Integrability Analysis
L. G. S. Duarte, J. P. C. Eiras, L. A. C. P. da Mota
In [1], we have presented the theoretical background for finding the Elementary Invariants for a 3D system of first order rational differential equations (1ODEs). We have also prov…
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…