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Arnold Diffusion in Systems of Three Degrees of Freedom

  • Chong-Qing Cheng,
  • Jinxin Xue

摘要

In this chapter, we study Arnold diffusion in nearly integrable (or a priori stable) Hamiltonian systems of 3DOFs and give a proof of Theorems 7.1.2 , 7.1.3 , 7.1.4 in the case of \(n=3\) based on the work of the first named author.