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Formal First Integrals of General Dynamical Systems

Author

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  • Jia Jiao
  • Wenlei Li
  • Qingjian Zhou

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.

Suggested Citation

  • Jia Jiao & Wenlei Li & Qingjian Zhou, 2016. "Formal First Integrals of General Dynamical Systems," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-9, August.
    • Handle: RePEc:hin:jnlamp:1036089
    DOI: 10.1155/2016/1036089
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