Formal First Integrals of General Dynamical Systems
Jia Jiao,
Wenlei Li and
Qingjian Zhou
Advances in Mathematical Physics, 2016, vol. 2016, issue 1
Abstract:
The goal of this paper is trying to make a complete study on the integrability for general analytic nonlinear systems by first integrals. We will firstly give an exhaustive discussion on analytic planar systems. Then a class of higher dimensional systems with invariant manifolds will be considered; we will develop several criteria for existence of formal integrals and give some applications to illustrate our results at last.
Date: 2016
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https://doi.org/10.1155/2016/1036089
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:1036089
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