Perturbations from an Elliptic Hamiltonian of Degree Four: I. Saddle Loop and Two Saddle Cycle☆

By Freddy Dumortier, Chengzhi Li. 2001

119 citations recorded by the source corpus.

Subfields: Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/425177081b0e714b5060a91b6001b735e963b20e

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Jordi Villadelprat
2. Maite Grau
3. Francesc Mañosas
4. Jihua Wang
5. Dongmei Xiao

In Statistical and Nonlinear Physics

1. Maite Grau
2. Jihua Wang
3. Francesc Mañosas
4. Jordi Villadelprat
5. Dongmei Xiao

Citations in the corpus

• On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems with one nilpotent saddle (2011, background): “, Limit cycles of differential equations, advanced courses in mathematics, CRM Barcelona, (2007), Birkhäuser Verlag Basel-Boston-Berlin [4] Dumortier, F.”
• A Chebyshev criterion for Abelian integrals (2008, methodology): “In several papers dealing with zeros of Abelian integrals (see [2, 3, 4, 21] for instance), it is applied a criterion of Li and Zhang [19].”
• Hilbert's 16th Problem and bifurcations of Planar Polynomial Vector Fields (2003, unknown): “In recent years, new progress have been achieved [Dumortier & Li, 2001; Li et al., 2000, 2001; Chow et al., 2001; etc.].”