[QPSI]. A MAPLE package for the determination of quasi-polynomial symmetries and invariants

DOI10.1016/S0010-4655(98)00186-6zbMath1001.65133MaRDI QIDQ1808003

Annibal Figueiredo, Tarcísio M. Rocha Filho, Léon Brenig

Publication date: 30 November 1999

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

zbMATH Keywords

invariantsdynamical systemsinvariant tensor fieldsquasi-polynomial symmetriesquasi-polynomial symmetries and invariants MAPLE package

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Packaged methods for numerical algorithms (65Y15)

Related Items (4)

Reducing nonlinear dynamical systems to canonical forms ⋮ [SADE a Maple package for the symmetry analysis of differential equations] ⋮ An algorithm for determining a class of invariants in quasi-polynomial systems ⋮ Symmetry and classes of transport equations

Uses Software

• Maple
• QPSI

Cites Work

• Unnamed Item
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• Integrals of quadratic ordinary differential equations in \(\mathbb R^3\): the Lotka-Volterra system
• An algorithm for determining polynomial first integrals of autonomous systems of ordinary differential equations
• Lifting canonical algorithms from a ring R to the ring R[x]
• Necessary conditions for the existence of quasi-polynomial invariants: the quasi-polynomial and Lotka-Volterra systems
• A rational approach to the Prelle-Singer algorithm
• Elementary First Integrals of Differential Equations
• Algebraic structures and invariant manifolds of differential systems
• First integrals of autonomous systems of differential equations and the Prelle-Singer procedure

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