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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
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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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Lawrence Goldman. 2001-07-19. 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. https://arxiv.org/abs/math-ph/0107017

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