Devil's Staircase of Gap Maps

نویسندگان

  • Jung-Chao Ban
  • Cheng-Hsiung Hsu
  • Song-Sun Lin
چکیده

This study demonstrates the devil's staircase structure of topological entropy functions for one-dimensional symmetric unimodal maps with a gap inside. The results are obtained by using kneading theory and helpful in investigating the communication of chaos. Work partially supported by the NSC under Grant No. 89-2115-M-008-029 and the National Center for Theoretical Sciences Mathematics Division, R. O. C.. Work partially supported by the NSC under Grant No. 89-2115-M-009-023, the Lee and MTI Center for Networking Research and the National Center for Theoretical Sciences Mathematics Division, R. O. C..

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عنوان ژورنال:
  • I. J. Bifurcation and Chaos

دوره 13  شماره 

صفحات  -

تاریخ انتشار 2003