Resonance Pockets of Hill's Equations with Two-Step Potentials

  title={Resonance Pockets of Hill's Equations with Two-Step Potentials},
  author={Shaobo Gan and Meirong Zhang},
  journal={SIAM J. Math. Analysis},
In this paper, we use the rotation number approach to study in detail the characteristic values of Hill’s equations with two-step periodic potentials. As a result, the global structure of resonance pockets is described completely. The results in this paper show that resonance pockets behave in a sensible and fairly rich way even in this simplest case. 

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