Integrability of 3-dim polynomial systems with three invariant planes

Author: Hu Zhaoping   Aldazharova Maira   Aldibekov Tamasha   Romanovski Valery  

Publisher: Springer Publishing Company

ISSN: 0924-090X

Source: Nonlinear Dynamics, Vol.74, Iss.4, 2013-12, pp. : 1077-1092

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Abstract

We investigate the problem of integrability for a family of three-dimensional autonomous polynomial systems of ODEs. Necessary and sufficient conditions for the existence of two independent analytic first integrals for systems of the family are given. The linearizability of the systems is studied as well.