Title of article
Local integrability of a family of three-dimensional quadratic systems
Author/Authors
Hu، نويسنده , , Zhaoping and Han، نويسنده , , Maoan and Romanovski، نويسنده , , Valery G.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2013
Pages
9
From page
78
To page
86
Abstract
We investigate the local integrability of a family of three dimensional quadratic systems in a neighborhood of ( 0 : − 1 : 1 ) resonant singular point. We find the necessary and sufficient conditions for the existence of two functionally independent first integrals of the system. Mechanisms for integrability for the systems are either time-reversibility or Darboux integrability.
Keywords
Integrability variety , reversibility , Darboux integrability , Invariant plane , Analytic first integrals
Journal title
Physica D Nonlinear Phenomena
Serial Year
2013
Journal title
Physica D Nonlinear Phenomena
Record number
1730528
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