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

2001/07/19 by Lawrence Goldman, Goldman, Lawrence
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0107017

arxiv created 2001/07/19 · arxiv updated 2009/11/30

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.

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