@Article{CMR-28-2,
author = {Wei, Wang and Liao, Li},
title = {Likely Limit Sets of a Class of $p$-Order Feigenbaum's Maps},
journal = {Communications in Mathematical Research },
year = {2012},
volume = {28},
number = {2},
pages = {137--145},
abstract = {<p style="text-align: justify;">A continuous map from a closed interval into itself is called a $p$-order
Feigenbaum&#39;s map if it is a solution of the Feigenbaum&#39;s equation $f^p
(λx) = λf(x)$.
In this paper, we estimate Hausdorff dimensions of likely limit sets of some $p$-order
Feigenbaum&#39;s maps. As an application, it is proved that for any $0 &lt; t &lt; 1$, there
always exists a $p$-order Feigenbaum&#39;s map which has a likely limit set with Hausdorff
dimension $t$. This generalizes some known results in the special case of $p = 2$.</p>},
issn = {2707-8523},
doi = {https://doi.org/2012-CMR-19056},
url = {https://global-sci.com/article/81827/likely-limit-sets-of-a-class-of-p-order-feigenbaums-maps}
}