A semi-algorithm to find elementary first order invariants of rational second order ordinary differential equations. - J. Avellar; L. G. S. Duarte; S. E. S. Duarte; L. A. C. P. da Mota (Appl. Math. Comput., 2007)

Numerical Calculation With Arbitrary Precision - B. O. Rodrigues; L. A. C. P. da Mota; L. G. S. Duarte (CoRR, 2007)

Determining Liouvillian first integrals for dynamical systems in the plane. - J. Avellar; L. G. S. Duarte; S. E. S. Duarte; L. A. C. P. da Mota (Comput. Phys. Commun., 2007)

PSsolver: A Maple implementation to solve first order ordinary differential equations with Liouvillian solutions. - J. Avellar; L. G. S. Duarte; L. A. C. P. da Mota (Comput. Phys. Commun., 2012)

The Ndynamics package - Numerical analysis of dynamical systems and the fractal dimension of boundaries. - J. Avellar; L. G. S. Duarte; L. A. C. P. da Mota; N. de Melo; J. E. F. Skea (Comput. Phys. Commun., 2012)

Determining Liouvillian first integrals for dynamical systems in the plane and an integrability analysis. - J. Avellar; M. S. Cardoso; L. G. S. Duarte; L. A. C. P. da Mota (Comput. Phys. Commun., 2014)

A Maple package to find first order differential invariants of 2ODEs via a Darboux approach. - J. Avellar; L. G. S. Duarte; L. A. C. P. da Mota (Comput. Phys. Commun., 2014)

A Maple package for improved global mapping forecast. - H. Carli; L. G. S. Duarte; L. A. C. P. da Mota (Comput. Phys. Commun., 2014)

Finding higher order Darboux polynomials for a family of rational first order ordinary differential equations. - J. Avellar; André Luiz Gomes da Cruz Claudino; L. G. S. Duarte; L. A. C. P. da Mota (Comput. Phys. Commun., 2015)

Improving a family of Darboux methods for rational second order ordinary differential equations. - J. Avellar; L. G. S. Duarte; L. A. C. P. da Mota (Comput. Phys. Commun., 2015)

Improvement in global forecast for chaotic time series. - P. R. L. Alves; L. G. S. Duarte; L. A. C. P. da Mota (Comput. Phys. Commun., 2016)

A new method for improved global mapping forecast. - P. R. L. Alves; L. G. S. Duarte; L. A. C. P. da Mota (Comput. Phys. Commun., 2016)

Finding first order differential invariants through the S-function. - L. G. S. Duarte; L. A. C. P. da Mota; E. Nunez (Comput. Phys. Commun., 2016)

Alternative predictors in chaotic time series. - P. R. L. Alves; L. G. S. Duarte; L. A. C. P. da Mota (Comput. Phys. Commun., 2017)

Dealing with rational second order ordinary differential equations where both Darboux and Lie find it difficult: The S-function method. - J. Avellar; M. S. Cardoso; L. G. S. Duarte; L. A. C. P. da Mota (Comput. Phys. Commun., 2019)

An Efficient Method for Computing Liouvillian First Integrals of Planar Polynomial Vector Fields. - L. G. S. Duarte; L. A. C. P. da Mota (CoRR, 2020)

The goodness of global fitting in the reconstruction scheme. - P. R. L. Alves; L. G. S. Duarte; L. A. C. P. da Mota (Comput. Phys. Commun., 2020)

A generalization of the S-function method applied to a Duffing-Van der Pol forced oscillator. - Antonio Braz; L. G. S. Duarte; L. A. C. P. da Mota (Comput. Phys. Commun., 2020)

An efficient way to determine Liouvillian first integrals of rational second order ordinary differential equations. - L. G. S. Duarte; J. C. Eiras; Luis Antonio Campinho Pereira Da Mota (Comput. Phys. Commun., 2024)

A new way to use nonlocal symmetries to determine first integrals of second-order nonlinear ordinary differential equations. - Antonio Braz; L. G. S. Duarte; H. S. Ferreira; A. C. S. Guabiraba; L. A. C. P. da Mota; I. S. S. Nascimento (Comput. Phys. Commun., 2025)

Numerical analysis and integration of dynamical systems and the fractal dimension of boundaries. - L. G. S. Duarte; L. A. C. P. da Mota; J. E. F. Skea (Comput. Phys. Commun., 2025)