Local analytic integrability for nilpotent centers

By J. Chavarriga, Hector Giacomin, Jaume Giné Mesa, Jaume Llibre. Ergodic Theory and Dynamical Systems, 2003

114 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9dfe537d7fb9c0081e3b162b54050918bd636e15

How researchers see this paper

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

In Algebra and Number Theory

1. Xiang Zhang
2. Jaume Llibre
3. Armengol Gasull
4. María Jesús Álvarez
5. Cláudia Valls

In Applied Mathematics

1. Xiang Zhang
2. Armengol Gasull
3. María Jesús Álvarez
4. Cláudia Valls
5. Jaume Llibre

In Geometry and Topology

1. Xiang Zhang
2. Jaume Llibre
3. Cláudia Valls
4. Armengol Gasull
5. María Jesús Álvarez
6. Maoan Han
7. Maite Grau
8. Isaac A. García

Citations in the corpus

• Analytic normalization of analytic integrable systems and the embedding flows (2008, background): “[2,3,6] characterize their local analytic integrability with the aid of normal forms.”
• Hamiltonian nilpotent centers of linear plus cubic homogeneous polynomial vector fields (2014, background): “For more details about Proposition 4 and its proof see [4].”
• Generating limit cycles from a nilpotent critical point via normal forms (2006, methodology): “To our knowledge the three tools explained above have been also used to study the center–focus problem for nilpotent critical points, see for instance [1,5,11], respectively.”