An integrating factor matrix method to find first integrals

Details An integrating factor matrix method to find first integrals An integrating factor matrix method to find first integrals

2010-03-18

arxiv.org/abs/1003.3589v1

Mathematics

Dynamical Systems

Scientific paper

In this paper we developed an integrating factor matrix method to derive
conditions for the existence of first integrals. We use this novel method to
obtain first integrals, along with the conditions for their existence, for two
and three dimensional Lotka-Volterra systems with constant terms. The results
are compared to previous results obtained by other methods.

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