The maximal number of limit cycles bifurcating from a Hamiltonian triangle in quadratic systems
Author:
Funder
National Natural Science Foundation of China
Natural Science Foundation of Jiangsu Province
Publisher
Elsevier BV
Subject
Analysis,Applied Mathematics
Reference28 articles.
1. On the number of limit cycles near a homoclinic loop with a nilpotent singular point;An;J. Differ. Equ.,2015
2. Averaging methods for finding periodic orbits via Brouwer degree;Buica;Bull. Sci. Math.,2004
3. Successive derivatives of a first return map, application to the study of quadratic vector fields;Françise;Ergod. Theory Dyn. Syst.,1996
4. Iterated integrals, Gelfand-Leray residue, and first return mapping;Françise;J. Dyn. Control Syst.,2006
5. Hilbert's 16th problem on a period annulus and Nash space of arcs;Françise;Math. Proc. Camb. Philos. Soc.,2019
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