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

Simple item page
dc.contributor.authorXu, Zhiguo
dc.contributor.authorLi, Wenlei
dc.contributor.authorShi, Shaoyun
dc.date.accessioned2022-08-17T21:12:07Z
dc.date.available2022-08-17T21:12:07Z
dc.date.issued2017-11-05
dc.description.abstractThe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent11 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationXu, Z., Li, W., & Shi, S. (2017). Higher order criterion for the nonexistence of formal first integral for nonlinear systems. <i>Electronic Journal of Differential Equations, 2017</i>(274), pp. 1-11.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16075
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectNormal form theory
dc.subjectFirst integral
dc.subjectResonance
dc.titleHigher order criterion for the nonexistence of formal first integral for nonlinear systems
dc.typeArticle

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
xu.pdf
Size:
230.26 KB
Format:
Adobe Portable Document Format
Description:
Download

License bundle

Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
2.54 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Electronic Journal of Differential Equations