Zhiguo Xu, Wenlei Li, Shaoyun Shi
Abstract:
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
nonintegrability theorem and the existing results in the literature.
Submitted April 13 2016. Published November 5, 2017.
Math Subject Classifications: 34C14, 34M25.
Key Words: Normal form theory; first integral; resonance.
Show me the PDF file (235 KB), TEX file for this article.
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Zhiguo Xu School of Mathematics, Jilin University Changchun 130012, China email: xuzg2014@jlu.edu.cn |
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Wenlei Li School of Mathematics, Jilin University Changchun 130012, China email: lwlei@jlu.edu.cn phone: +86-431-85166042 |
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Shaoyun Shi School of Mathematics & State key laboratory of automotive simulation and control Changchun 130012, China email: shisy@jlu.edu.cn |
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