POINCARé CODE: a package of open-source implements for normalization and computer algebra reduction near equilibria of coupled ordinary differential equations

DOI10.1016/j.cpc.2013.04.003zbMath1344.34004OpenAlexW2070581146WikidataQ110512670 ScholiaQ110512670MaRDI QIDQ313055

Jilali Mikram, Abderrahim El Abdllaoui, Fouad Zinoun

Publication date: 9 September 2016

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

Full work available at URL: https://doi.org/10.1016/j.cpc.2013.04.003

zbMATH Keywords

ordinary differential equationsBirkhoff-Gustavson normal formLie transformjoint normal formMaple packagePoincaré-Dulac normal form

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items (1)

POINCARe CODE

Uses Software

• Maple

Cites Work

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• Practical normal form computations for vector fields
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• Canonical transformations depending on a small parameter
• Equivalence and Decomposition of Vector Fields About an Elementary Critical Point
• Construction of doubly periodic solutions via the Poincaré-Lindstedt method in the case of massless \(\varphi^4\) theory
• Normal form methods for symbolic creation of approximate solutions of nonlinear dynamical systems

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