Cyclicity of periodic annulus and Hopf cyclicity in perturbing a hyper-elliptic Hamiltonian system with a degenerate heteroclinic loop
Author:
Funder
Natural Sciences and Engineering Research Council of Canada
Publisher
Elsevier BV
Subject
Analysis,Applied Mathematics
Reference45 articles.
1. Asymptotic lower bounds on Hilbert numbers using canard cycles;Álvarez;J. Differ. Equ.,2020
2. Ten problems;Arnold;Adv. Sov. Math.,1990
3. Bifurcations of limit cycles from quintic Hamiltonian systems with an eye-figure loop;Asheghi;Nonlinear Anal.,2008
4. Bifurcations of limit cycles from quintic Hamiltonian systems with an eye-figure loop (II);Asheghi;Nonlinear Anal.,2008
5. On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems;Asheghi;Nonlinear Anal.,2012
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