J. Avellar

Publication Activity (10 Years)

Years Active: 2007-2019
Publications (10 Years): 2

Top Topics

Fractal Dimension

Dynamic Systems

Numerical Analysis

Ordinary Differential Equations

Top Venues

Comput. Phys. Commun.

Publications

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 (2019)
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 (2017)
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 (2015)
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 (2015)
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) (2014)
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) (2014)
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) (2012)
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) (2012)
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) (2007)
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) (2007)