Abstract:
A systematic method to find all low-period windows for the logistic map fa(x) = ax(1 - x) is proposed. The method is used to obtain very good approximations of positions ...Show MoreMetadata
Abstract:
A systematic method to find all low-period windows for the logistic map fa(x) = ax(1 - x) is proposed. The method is used to obtain very good approximations of positions of periodic windows with periods p ≤ 20. For each window using the forward shooting based interval Newton operator we confirm its existence by proving the existence of a sink for several parameter values inside the window and compute a very accurate rigorous lower bound of the window width.
Date of Conference: 24-27 May 2015
Date Added to IEEE Xplore: 30 July 2015
Electronic ISBN:978-1-4799-8391-9
ISSN Information:
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