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Article Contents

# The diffusion time of the connecting orbit around rotation number zero for the monotone twist maps

• We improve Mather's proof on the existence of the connecting orbit around rotation number zero (Proposition 8.1 in [7]) in this paper. Our new proof not only assures the existences of the connecting orbit, but also gives a quantitative estimation on the diffusion time.
Mathematics Subject Classification: 37Cxx.

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