Geography of resonances and Arnold diffusion in a priori unstable Hamiltonian systems

By A. Valdés, Gemma Huguet Casades. 2008

52 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/4f43688a904019422a220e8d28f26a7790a6189f

How researchers see this paper

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

1. Vadim Kaloshin
2. Ke Zhang
3. P. Bernard
4. Luigi Ambrosio
5. Shin-ichi Ohta
6. A. Fathi

Citations in the corpus

• A strong form of Arnold diusion for two and a half degrees of freedom (2012, background): “– In [29, 32, 39, 30] the authors carefully analyze two types of dynamics induced on the cylinder C.”
• Arnold diffusion in arbitrary degrees of freedom and normally hyperbolic invariant cylinders (2016, background): “A unifying aspect of all these situations is the presence of a normally hyperbolic cylinder, as was understood in [57] and [29]; see also [27], [28], [61], [62], [23], [24], [8].”
• Computation of whiskered invariant tori and their associated manifolds: new fast algorithms (2010, unknown): “Perturbative proofs of existence of secondary tori are done in [38] and in [13] and in more detail in [12].”