Total destruction of invariant tori for the generalized Frenkel-Kontorova model
classification
🧮 math.DS
math-phmath.MP
keywords
frenkel-kontorovageneralizedinvarianttoriconsidercontinuousdestroyeddestruction
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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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