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Arnold Diffusion in a Priori Unstable Systems

  • Chong-Qing Cheng,
  • Jinxin Xue

摘要

In this chapter, we study Arnold diffusion for a priori unstable systems, which assume the existence of an NHIC. A prototypical example is given in ( 7.2 ). More generally, we formulate the following definition for the class of a priori unstable systems to be studied in this chapter.