On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems
Author:
Publisher
Elsevier BV
Subject
Applied Mathematics,Analysis
Reference12 articles.
1. Perturbations from an elliptic Hamiltonian of degree four: (I) saddle loop and two saddle cycle;Dumortier;J. Differential Equations,2001
2. Perturbations from an elliptic Hamiltonian of degree four: (II) cuspidal loop;Dumortier;J. Differential Equations,2001
3. Perturbations from an elliptic Hamiltonian of degree four: (IV) figure eight-loop;Dumortier;J. Differential Equations,2003
4. On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems with one nilpotent saddle;Wang;J. Differential Equations,2011
5. Multiple focus and Hopf bifurcations in a predator–prey system with nonmonotonic functional response;Xiao;SIAM J. Appl. Math.,2006
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