Formal First Integrals of General Dynamical Systems

Jia Jiao, Wenlei Li and Qingjian Zhou

Advances in Mathematical Physics, 2016, vol. 2016, 1-9

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:1036089

DOI: 10.1155/2016/1036089

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