Splitting of Separatrices for the Chirikov Standard Map

By V. Lazutkin. 2005

64 citations recorded by the source corpus.

Subfields: Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/baeed68c31bc253108b5b4a6c986057e664dd81d

How researchers see this paper

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

In Mathematical Physics

1. Marcel Guardia
2. Inmaculada Baldomá
3. Ernest Fontich
4. Tere M. Seara
5. R. Llave

In Statistical and Nonlinear Physics

1. Marcel Guardia
2. Inmaculada Baldomá
3. Ernest Fontich
4. Tere M. Seara
5. R. Llave

Citations in the corpus

• Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results (2012, background): “This is the main novelty in the proofs of exponentially small splitting, and was discovered by Lazutkin in his pioneer paper [Laz84]: the perturbed and unperturbed manifolds, as well as the solutions of the variational equations along them, need to be close enough when one considers complex times in”