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J Llibre, R Ramírez, N Sadovskaia (2010)
On the 16th Hilbert problem for algebraic limit cyclesJ. Differ. Equ., 248
J Moulin-Ollagnier (2001)
Liouvillian integration of the Lotka–VolterraQual. Theory Dyn. Syst., 2
L Cairó, H Giacomini, J Llibre (2003)
Liouvillian first integrals for the planar Lotka–Volterra systemsRendiconti del circolo Matematico di Palermo, 52
Xiang Zhang (2011)
The 16th Hilbert problem on algebraic limit cyclesJournal of Differential Equations, 251
C. Christopher, J. Llibre, G. Swirszcz (2005)
Invariant algebraic curves of large degree for quadratic systemJournal of Mathematical Analysis and Applications, 303
J. Moulin-Ollagnier (2002)
Liouvillian integration of the Lotka-Volterra system
A. Neto (1988)
Algebraic solutions of polynomial differential equations and foliations in dimension two
A Lins Neto (1988)
Algebraic Solutions of Polynomial Differential Equations and Foliations in Dimension Two. Holomorphic Dynamics
The aim of this work is to investigate the geometric behaviour of the invariant algebraic curves in two dimensional Lotka–Volterra systems, first classified by Moulin-Ollagnier.
Mathematics in Computer Science – Springer Journals
Published: Apr 26, 2017
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