Integrability of Lotka-Volterra type systems of degree 4

Changjian Liu; Guoting Chen; Guanrong Chen

doi:10.1016/j.jmaa.2011.10.056

Author(s)

Changjian Liu
Guoting Chen
Guanrong Chen

Related Research Unit(s)

Department of Electrical Engineering

Detail(s)

Original language	English
Pages (from-to)	1107-1116
Journal / Publication	Journal of Mathematical Analysis and Applications
Volume	388
Issue number	2
Publication status	Published - 15 Apr 2012

Link(s)

DOI	DOI https://doi.org/10.1016/j.jmaa.2011.10.056 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84855359338&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(11494bed-aecf-45b0-923d-7b7faf05bf5d).html

Abstract

We study the integrability of the Lotka-Volterra type systems with 1. :. - (3. q- 1) resonances. We prove some sufficient conditions for the integrabilities of the systems and give some necessary conditions by studying the first two saddle values of the system. In the particular cases of 1. :. - 2, 1. :. - 5 and 1. :. - 8 resonances, we derive necessary and sufficient conditions for the integrabilities of the systems. © 2011 Elsevier Inc.

Research Area(s)

Center problem, Integrability, Lotka-Volterra type system, Saddle value

Citation Format(s)

[ RIS ] [ BibTeX ]

Integrability of Lotka-Volterra type systems of degree 4. / Liu, Changjian; Chen, Guoting; Chen, Guanrong.
In: Journal of Mathematical Analysis and Applications, Vol. 388, No. 2, 15.04.2012, p. 1107-1116.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Liu, C, Chen, G & Chen, G 2012, 'Integrability of Lotka-Volterra type systems of degree 4', Journal of Mathematical Analysis and Applications, vol. 388, no. 2, pp. 1107-1116. https://doi.org/10.1016/j.jmaa.2011.10.056

Liu, C., Chen, G., & Chen, G. (2012). Integrability of Lotka-Volterra type systems of degree 4. Journal of Mathematical Analysis and Applications, 388(2), 1107-1116. https://doi.org/10.1016/j.jmaa.2011.10.056

Liu C, Chen G, Chen G. Integrability of Lotka-Volterra type systems of degree 4. Journal of Mathematical Analysis and Applications. 2012 Apr 15;388(2):1107-1116. doi: 10.1016/j.jmaa.2011.10.056

Liu, Changjian ; Chen, Guoting ; Chen, Guanrong. / Integrability of Lotka-Volterra type systems of degree 4. In: Journal of Mathematical Analysis and Applications. 2012 ; Vol. 388, No. 2. pp. 1107-1116.