Programs in Physics & Physical Chemistry
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|Manuscript Title: [QPSI] a MAPLE package for the determination of quasi-polynomial symmetries and invariants of ODEs system.|
|Authors: T.M. Rocha Filho, A. Figueiredo, L. Brenig|
|Program title: QPSI|
|Catalogue identifier: ADJX_v1_0|
Distribution format: tar.gz
|Journal reference: Comput. Phys. Commun. 117(1999)263|
|Programming language: Maple.|
|Operating system: UNIX, WINDOWS/95.|
|Word size: 32|
|Keywords: General purpose, Differential equations, Ode's system, First-integrals, Invariants, Lie symmetries, Lotka-volterra, Maple, Symbolic computation.|
Nature of problem:
The search of invariant tensors and invariants for dynamical systems.
The algorithm to calculate a quasi-polynomial invariant tensor field for a quasi-polynomial dynamical system is described in [1,2].
The time consuming becomes higher when the order of the semi-invariant increases.
QPSI is the first MAPLE program that calculates quasi-polynomial invariant tensor fields for ODE's systems in the quasi-polynomial form (including the scalar invariant).
Depends strongly on the order and the complexity of the ODE's system.
|||A. Figueiredo, T.M. Rocha Filho, L. Brenig, "Algebraic structures and invariants of differential systems", accepted for publication in J. Math. Phys. (1997).|
|||A. Figueiredo, T.M. Rocha Filho, L. Brenig, "Necessary conditions for the existence of quasi-polynomial invariants: the quasi- polynomial and Lotka-Volterra systems", submitted in Physica A (1997).|
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