TY - JOUR
T1 - Integrability of Lotka-Volterra type systems of degree 4
AU - Liu, Changjian
AU - Chen, Guoting
AU - Chen, Guanrong
PY - 2012/4/15
Y1 - 2012/4/15
N2 - 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.
AB - 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.
KW - Center problem
KW - Integrability
KW - Lotka-Volterra type system
KW - Saddle value
UR - http://www.scopus.com/inward/record.url?scp=84855359338&partnerID=8YFLogxK
UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-84855359338&origin=recordpage
U2 - 10.1016/j.jmaa.2011.10.056
DO - 10.1016/j.jmaa.2011.10.056
M3 - RGC 21 - Publication in refereed journal
SN - 0022-247X
VL - 388
SP - 1107
EP - 1116
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -