A new method for measuring the splitting of invariant manifolds
By D. Sauzin. 2001
53 citations recorded by the source corpus.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/8126d5c707424f25722a92a3ec63374bab7031e5
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In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- Speed of Arnold diffusion for analytic Hamiltonian systems (2011, methodology): “It’s easy to see that T is normally hyperbolic, hence there exists 3-dimensional stable and unstable manifoldsW . When = 0 these manifolds coincide, when > 0 the stable and unstable manifolds splits, see Figure 1. From [ 16 ], we know that these manifolds are Lagrangian manifolds, whose generating f”
- Oscillatory motions for the restricted planar circular three body problem (2012, methodology): “To study the function ̃ we proceed as in [33] (see also [18]).”
- Exponentially small splitting of separatrices beyond Melnikov analysis: rigorous results (2012, background): “In [Sau01], the author considers systems for which the unperturbed separatrix is a graph globally and then he can work in such wide domains.”