A package for solving parametric polynomial systems

DOI10.1145/1823931.1823933zbMath1322.68281OpenAlexW2168645231MaRDI QIDQ5176462

David J. Jeffrey, Jürgen Gerhard, Guillaume Moroz

Publication date: 26 February 2015

Published in: ACM Communications in Computer Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/1823931.1823933

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical computation of solutions to systems of equations (65H10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

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Bounding the number of limit cycles for parametric Liénard systems using symbolic computation methods ⋮ On the determination of cusp points of 3-RPR parallel manipulators ⋮ Kac-Rice formulas and the number of solutions of parametrized systems of polynomial equations ⋮ An efficient method of finding new symplectic schemes for Hamiltonian mechanics problems with the aid of parametric Gröbner bases ⋮ Local stability and Hopf bifurcations analysis of the Muthuswamy-Chua-Ginoux system ⋮ Analysis of Snapback Repellers Using Methods of Symbolic Computation ⋮ Analysis of codimension 2 bifurcations for high-dimensional discrete systems using symbolic computation methods ⋮ Exotic Bifurcations in Three Connected Populations with Allee Effect ⋮ The multistationarity structure of networks with intermediates and a binomial core network ⋮ A general method of finding new symplectic schemes for Hamiltonian mechanics ⋮ Solving parametric systems of polynomial equations over the reals through Hermite matrices

Uses Software

• Maple

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