An integrating factor matrix method to find first integrals

作者:Saputra K V I*; Quispel G R W; van Veen L
来源:Journal of Physics A-Mathematical and Theoretical, 2010, 43(22): 225207.
DOI:10.1088/1751-8113/43/22/225207

摘要

In this paper we develop 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.

  • 出版日期2010-6-4