31 citations · 163 across the 23 of their papers we have counts for
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math-ph2013★ 4 cited
Localized Stable Manifolds for Whiskered Tori in Coupled Map Lattices with Decaying Interaction
Daniel Blazevski, Rafael de la Llave
In this paper we consider lattice systems coupled by local interactions. We prove invariant manifold theorems for whiskered tori (we recall that whiskered tori are quasi-periodic s…
math.DS2013
Perturbations of geodesic flows by recurrent dynamics
Marian Gidea, Rafael de la Llave
We consider a geodesic flow on a compact manifold endowed with a Riemannian (or Finsler, or Lorentz) metric satisfying some generic, explicit conditions. We couple the geodesic flo…
math.DS2013★ 2 cited
Instability of high dimensional Hamiltonian Systems: Multiple resonances do not impede diffusion
Amadeu Delshams, Rafael de la Llave, Tere M. Seara
We consider models given by Hamiltonians of the form where are d-dimensional ac…