Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898809 | Physica D: Nonlinear Phenomena | 2009 | 14 Pages |
Abstract
We establish a lower bound on the measure of the set of stable parameters aa for the quadratic map Qa(x)=ax(1−x)Qa(x)=ax(1−x). For these parameters, we prove that QaQa either has a single stable periodic orbit or a period-doubling bifurcation. From this result, we also obtain a non-trivial upper bound on the set of stochastic parameters for QaQa.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Warwick Tucker, Daniel Wilczak,