A Maple package to find first order differential invariants of 2ODEs via a Darboux approach

DOI10.1016/j.cpc.2013.08.014zbMath1344.34002OpenAlexW1974112352MaRDI QIDQ313887

J. Avellar, L. A. C. P. da Mota, L. G. S. Duarte

Publication date: 12 September 2016

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2013.08.014

zbMATH Keywords

computer algebrafirst integralssecond order ordinary differential equationsDarboux-type approach

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Uses Software

• Maple
• FiOrDi
• FiOrDii

Cites Work

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• Solving second-order ordinary differential equations by extending the Prelle-Singer method
• 3D polynomial dynamical systems with elementary first integrals
• Symmetries and differential equations

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