Borel summation and splitting of separatrices for the Hénon map

By V. Gelfreich, D. Sauzin. 2001

80 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/cb1f035fe908b8c4d1fc1be07c4b7327654e292e

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. Marcel Guardia
2. Tere M. Seara
3. Ernest Fontich
4. Inmaculada Baldomá
5. Marco Abate
6. D. Sauzin
7. Ke Zhang

In Mathematical Physics

1. Marcel Guardia
2. Marco Abate
3. Ernest Fontich
4. Tere M. Seara
5. Inmaculada Baldomá
6. D. Sauzin
7. R. Llave
8. Ke Zhang

Citations in the corpus

• Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results (2012, methodology): “In [GS01] there is a rigorous study of the inner equation of the Hénon map using Resurgence Theory [Éca81a, Éca81b], and in [BS08] the authors studied the inner system associated to the Hopf-zero singularity using functional analysis techniques.”
• Discrete holomorphic local dynamical systems (2009, background): “Particular examples are studied in detail in [CD, A4, GS ].”
• Resurgent functions and splitting problems(New Trends and Applications of Complex Asymptotic Analysis : around dynamical systems, summability, continued fractions) (2006, methodology): “See [Eca81, Vol. 1], [CNP93], [ GS01 ] for more details.”