Higher order criterion for the nonexistence of formal first integral for nonlinear systems

The main purpose of this article is to find a criterion for the nonexistence of formal first integrals for nonlinear systems under general resonance. An algorithm illustrates an application to a class of generalized Lokta-Volterra systems. Our result generalize the classical Poincare's noni...

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Bibliographic Details
Main Authors: Zhiguo Xu, Wenlei Li, Shaoyun Shi
Format: Article
Language:English
Published: Texas State University 2017-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2017/274/abstr.html