Analytical approach for simplifying dynamical systems of polynomial type

Jesús Palacián and Patricia Yanguas

Mathematics and Computers in Simulation (MATCOM), 2001, vol. 57, issue 3, 291-305

Abstract: We present a method to calculate formal symmetries of dynamical systems which are represented by polynomials in n dimensions. The technique is based on Lie transformations for ordinary differential equations. The procedure is illustrated with two applications.

Keywords: Polynomial vector fields; Hamiltonian systems; Lie transformations; Asymptotic symmetries; First integrals; Reduced phase spaces (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:57:y:2001:i:3:p:291-305

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