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20 April 2024

» arxiv » math-ph/0107017

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The Classification of Time Invariants (First Integrals) of Multinomial Systems of O.D.E.s and the Surprising Link Between Algebraic and Logarithmic Time Invariants, Dictated by the Method of Arrays
Lawrence Goldman ;
Date:	19 Jul 2001
Subject:	Mathematical Physics \| math-ph math.MP
Abstract:	For a large class of systems of o.d.e.’s which have first integrals, the method of arrays yields the following results: i) The first integrals $I$ can be found by solving systems of linear equations. ii) How the first integral $I$ responds to changes in the system $S$. iii) An easy way for finding the first integral for a special class of first integrals if they exist.
Source:	arXiv, math-ph/0107017
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