Rigorous Numerical Study of Low-Period Windows for the Quadratic Map-Reference-Cited by-同舟云学术

Rigorous Numerical Study of Low-Period Windows for the Quadratic Map

Published:2015-09 Issue:10 Volume:25 Page:1550139
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Galias Zbigniew¹

Affiliation:

1. Department of Electrical Engineering, AGH University of Science and Technology, Mickiewicza 30, 30-059 Kraków, Poland

Abstract

An efficient method to find all low-period windows for the quadratic map is proposed. The method is used to obtain very accurate rigorous bounds of positions of all periodic windows with periods p ≤ 32. The contribution of period-doubling windows on the total width of periodic windows is discussed. Properties of periodic windows are studied numerically.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127415501394

Reference12 articles.

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