Integrability and linearizability of the Lotka–Volterra systems
C Liu, G Chen, C Li - Journal of Differential Equations, 2004 - Elsevier
Integrability and linearizability of the Lotka–Volterra systems are studied. We prove sufficient
conditions for integrable but not linearizable systems for any rational resonance ratio. We …
conditions for integrable but not linearizable systems for any rational resonance ratio. We …
Integrability of Lotka–Volterra type systems of degree 4
We study the integrability of the Lotka–Volterra type systems with 1:−(3q− 1) resonances. We
prove some sufficient conditions for the integrabilities of the systems and give some …
prove some sufficient conditions for the integrabilities of the systems and give some …
[HTML][HTML] The center problem for a 1:− 4 resonant quadratic system
B Ferčec, J Giné, M Mencinger, R Oliveira - Journal of Mathematical …, 2014 - Elsevier
The main objective of this paper is to find necessary and sufficient conditions for a 1:− 4
resonant system of the form x˙= x− a 10 x 2− a 01 xy− a 12 y 2, y˙=− 4 y+ b 2,− 1 x 2+ b 10 x …
resonant system of the form x˙= x− a 10 x 2− a 01 xy− a 12 y 2, y˙=− 4 y+ b 2,− 1 x 2+ b 10 x …
[PDF][PDF] The solution of some persistent resonant center problems
M Zulj, B Ferčec, M Mencinger - Electronic Journal of Qualitative …, 2018 - real.mtak.hu
The notion of p:− q resonant center was introduced recently and studied by several authors.
In this paper we generalize the notion of a persistent center to a persistent p:− q resonant …
In this paper we generalize the notion of a persistent center to a persistent p:− q resonant …