On the shape of limit cycles that bifurcate from Hamiltonian centers

By Héctor Giacomini, Jaume Llibre, M. Viano. 2000

59 citations recorded by the source corpus.

Subfields: Cell Biology, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/73d296aebc5ce2bf95ba8b25770e0d4670caea35

How researchers see this paper

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

In Cell Biology

1. Jaume Giné Mesa
2. Maite Grau
3. Isaac A. García
4. Jaume Llibre

In Geometry and Topology

1. Maite Grau
2. Isaac A. García
3. Jaume Llibre
4. Jaume Giné Mesa
5. Héctor Giacomini
6. Xiang Zhang
7. Douglas Duarte Novaes
8. Maoan Han

In Statistical and Nonlinear Physics

1. Maite Grau
2. Isaac A. García
3. Jaume Giné Mesa
4. Jaume Llibre
5. Héctor Giacomini
6. Xiang Zhang
7. Maoan Han
8. Douglas Duarte Novaes

Citations in the corpus

• Limit cycles of cubic polynomial vector fields via the averaging theory (2007, methodology): “The last two methods additionally can give the shape of the bifurcated limit cycle up to any order in the perturbation parameter, see [8, 9] and [14].”
• A Survey on the Inverse Integrating Factor (2009, background): “Further, in [50] the authors consider regular orbits whose Poincaré map is a return map and take profit from the result stated in Theorem 44 in order to study the Poincaré map associated to a limit cycle or to a homoclinic loop, in terms of the inverse integrating factor.”
• Darboux integrability and the inverse integrating factor (2003, background): “This fact allows to study the limit cycles which bifurcate from periodic orbits of a center (Hamiltonian or not) under a perturbation and to compute their shape, see [17,18].”