Total destruction of invariant tori for the generalized Frenkel-Kontorova model

Details Total destruction of invariant tori for the generalized Frenkel-Kontorova model Total destruction of invariant tori for the generalized Frenkel-Kontorova model

2011-11-29

arxiv.org/abs/1111.6879v1

Mathematics

Dynamical Systems

Scientific paper

We consider generalized Frenkel-Kontorova models on higher dimensional
lattices. We show that the invariant tori which are parameterized by continuous
hull functions can be destroyed by small perturbations in the $C^r$ topology
with $r<1$.

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