We prove a conjecture by Elaydi and Yakubu which states that the basin of attraction of an attracting 2 k -cycle of the Ricker's map is where E is the set of all eventually 2 r -periodic points. The result is then extended to a more general class of continuous maps on the real line.
Taylor & Francis
Elaydi, S., & Sacker, R. (2004). Basin of attraction of periodic orbits of maps on the real line. Journal of Difference Equations and Applications, 10(10), 881-888. doi:10.1080/10236190410001731443
Journal of Difference Equations and Applications