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

Published: 1 September 2013| Version 1 | DOI: 10.17632/tsyg3k6khh.1
J. Mikram, F. Zinoun, A. El Abdllaoui


Abstract The Poincaré code is a Maple project package that aims to gather significant computer algebra normal form (and subsequent reduction) methods for handling nonlinear ordinary differential equations. As a first version, a set of fourteen easy-to-use Maple commands is introduced for symbolic creation of (improved variants of Poincaré’s) normal forms as well as their associated normalizing transformations. The software is the implementation by the authors of carefully studied and followed up sele... Title of program: POINCARÉ Catalogue Id: AEPJ_v1_0 Nature of problem Computing structure-preserving normal forms near the origin for nonlinear vector fields. Versions of this program held in the CPC repository in Mendeley Data AEPJ_v1_0; POINCARÉ; 10.1016/j.cpc.2013.04.003 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)



Physical Chemistry, Molecular Physics, Computational Physics, Computer Algebra System, Computational Method