Devil's Staircase of Gap Maps

@article{Ban2003DevilsSO,
  title={Devil's Staircase of Gap Maps},
  author={Jung-Chao Ban and Cheng-Hsiung Hsu and Song-Sun Lin},
  journal={I. J. Bifurcation and Chaos},
  year={2003},
  volume={13},
  pages={115-122}
}
Mappings of an interval to itself provide complex behavior, which is important in many applications, such as physics, engineering and so on. One method of quantitatively characterizing the complex behavior of a map is topological entropy. The topological entropy can be considered to be the growth rate of distinct states of a map. If the entropy of a map is positive, then the map behaves chaotically. This study investigates the chaotic behavior of an one-dimensional symmetric unimodal map which… CONTINUE READING

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