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Journal Articles
- 2024
[j17]L. G. S. Duarte, J. C. Eiras, L. A. C. P. da Mota
:
An efficient way to determine Liouvillian first integrals of rational second order ordinary differential equations. Comput. Phys. Commun. 298: 109088 (2024)- 2020
- [j16]P. R. L. Alves, L. G. S. Duarte, L. A. C. P. da Mota:
The goodness of global fitting in the reconstruction scheme. Comput. Phys. Commun. 248: 107043 (2020) - [j15]Antonio Braz, L. G. S. Duarte, L. A. C. P. da Mota:
A generalization of the S-function method applied to a Duffing-Van der Pol forced oscillator. Comput. Phys. Commun. 254: 107306 (2020) - 2019
- [j14]J. Avellar, M. S. Cardoso, L. G. S. Duarte, L. A. C. P. da Mota:
Dealing with rational second order ordinary differential equations where both Darboux and Lie find it difficult: The S-function method. Comput. Phys. Commun. 234: 302-314 (2019) - 2017
- [j13]P. R. L. Alves, L. G. S. Duarte, L. A. C. P. da Mota:
Alternative predictors in chaotic time series. Comput. Phys. Commun. 215: 265-268 (2017) - 2016
- [j12]P. R. L. Alves, L. G. S. Duarte, L. A. C. P. da Mota:
Improvement in global forecast for chaotic time series. Comput. Phys. Commun. 207: 325-340 (2016) - [j11]P. R. L. Alves, L. G. S. Duarte, L. A. C. P. da Mota:
A new method for improved global mapping forecast. Comput. Phys. Commun. 207: 539-541 (2016) - [j10]L. G. S. Duarte, L. A. C. P. da Mota, E. Nunez:
Finding first order differential invariants through the S-function. Comput. Phys. Commun. 207: 542-544 (2016) - 2015
- [j9]J. Avellar, A. L. G. C. Claudino, L. G. S. Duarte, L. A. C. P. da Mota:
Finding higher order Darboux polynomials for a family of rational first order ordinary differential equations. Comput. Phys. Commun. 195: 216-217 (2015) - [j8]J. Avellar, L. G. S. Duarte, L. A. C. P. da Mota:
Improving a family of Darboux methods for rational second order ordinary differential equations. Comput. Phys. Commun. 195: 221-223 (2015) - 2014
- [j7]J. Avellar, L. G. S. Duarte, L. A. C. P. da Mota:
A Maple package to find first order differential invariants of 2ODEs via a Darboux approach. Comput. Phys. Commun. 185(1): 307-316 (2014) - [j6]H. Carli, L. G. S. Duarte, L. A. C. P. da Mota:
A Maple package for improved global mapping forecast. Comput. Phys. Commun. 185(3): 1115-1129 (2014) - [j5]J. Avellar, M. S. Cardoso, L. G. S. Duarte, L. A. C. P. da Mota:
Determining Liouvillian first integrals for dynamical systems in the plane and an integrability analysis. Comput. Phys. Commun. 185(5): 1496-1497 (2014) - 2012
- [j4]J. Avellar, L. G. S. Duarte, L. A. C. P. da Mota, N. de Melo, J. E. F. Skea:
The Ndynamics package - Numerical analysis of dynamical systems and the fractal dimension of boundaries. Comput. Phys. Commun. 183(9): 2019-2020 (2012) - [j3]J. Avellar, L. G. S. Duarte, L. A. C. P. da Mota:
PSsolver: A Maple implementation to solve first order ordinary differential equations with Liouvillian solutions. Comput. Phys. Commun. 183(10): 2313-2314 (2012) - 2007
- [j2]J. Avellar, L. G. S. Duarte, S. E. S. Duarte, L. A. C. P. da Mota:
A semi-algorithm to find elementary first order invariants of rational second order ordinary differential equations. Appl. Math. Comput. 184(1): 2-11 (2007) - [j1]J. Avellar, L. G. S. Duarte, S. E. S. Duarte, L. A. C. P. da Mota:
Determining Liouvillian first integrals for dynamical systems in the plane. Comput. Phys. Commun. 177(7): 584-596 (2007)
Informal and Other Publications
- 2020
- [i3]L. G. S. Duarte, L. A. C. P. da Mota:
An Efficient Method for Computing Liouvillian First Integrals of Planar Polynomial Vector Fields. CoRR abs/2004.09298 (2020) - 2017
- [i2]J. Avellar, M. S. Cardoso, L. G. S. Duarte, L. A. C. P. da Mota:
Dealing with Rational Second Order Ordinary Differential Equations where both Darboux and Lie Find It Difficult: The $S$-function Method. CoRR abs/1707.09007 (2017) - 2007
- [i1]B. O. Rodrigues, L. A. C. P. da Mota, L. G. S. Duarte:
Numerical Calculation With Arbitrary Precision. CoRR abs/0707.1716 (2007)
Coauthor Index
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