On the configurations of centers of planar Hamiltonian Kolmogorov cubic polynomial differential systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Xiao, Dongmei (Shanghai Jiao Tong University. School of Mathematical Sciences (China))

Date:	2020
Abstract:	We study the kind of centers that Hamiltonian Kolmogorov cubic polynomial differential systems can exhibit. Moreover, we analyze the possible configurations of these centers with respect to the invariant coordinate axes, and obtain that the real algebraic curve xy(a+bx+cy+dx2+exy+fy2)=h has at most four families of level ovals in R2 for all real parameters a,b,c,d,e,f and h.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Centers ; Configuration of centers ; Cubic polynomial differential systems ; Hamiltonian system ; Kolmogorov system
Published in:	Pacific Journal of Mathematics, Vol. 306, Issue 2 (2020) , p. 611-644, ISSN 1945-5844

DOI: 10.2140/pjm.2020.306.611

Postprint 30 p, 951.8 KB

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