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
Abstract
Description
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.