A point p is recurrent for f if, for any open interval J about p, there ists n > 0 such that f"(p) E J. Clearly, all periodic points are recurrent. a. Give an example of a non-periodic recurrent point...

This problem is Exercise 3, Section 1.7 from Robert L. Devaney's An Introduction to Chaotic Dynamical Systems

2+ V5. b. Give an example of a non-wandering point for F, which is not recur- rent. "/>
Extracted text: A point p is recurrent for f if, for any open interval J about p, there ists n > 0 such that f"(p) E J. Clearly, all periodic points are recurrent. a. Give an example of a non-periodic recurrent point for F, when µ > 2+ V5. b. Give an example of a non-wandering point for F, which is not recur- rent.