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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_0Distribution 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. | ||

Classification: 4.3. | ||

Nature of problem:The search of invariant tensors and invariants for dynamical systems. | ||

Solution method:The algorithm to calculate a quasi-polynomial invariant tensor field for a quasi-polynomial dynamical system is described in [1,2]. | ||

Restrictions:The time consuming becomes higher when the order of the semi-invariant increases. | ||

Unusual features: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). | ||

Running time:Depends strongly on the order and the complexity of the ODE's system. | ||

References: | ||

[1] | A. Figueiredo, T.M. Rocha Filho, L. Brenig, "Algebraic structures and invariants of differential systems", accepted for publication in J. Math. Phys. (1997). | |

[2] | 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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