Li and Yorke (1975) proved that *any* 1-D system which exhibits a regular Cycle of period three will
also display regular Cycles of every other length as well as completely Chaotic
Cycles.

**References**

Li, T. Y. and Yorke, J. A. ``Period Three Implies Chaos.'' *Amer. Math. Monthly* **82**, 985-992, 1975.

© 1996-9

1999-05-26