Analytical approach for simplifying dynamical systems of polynomial type
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.
Year of publication: |
2001
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Authors: | Palacián, Jesús ; Yanguas, Patricia |
Published in: |
Mathematics and Computers in Simulation (MATCOM). - Elsevier, ISSN 0378-4754. - Vol. 57.2001, 3, p. 291-305
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Publisher: |
Elsevier |
Subject: | Polynomial vector fields | Hamiltonian systems | Lie transformations | Asymptotic symmetries | First integrals | Reduced phase spaces |
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