The logistic map and the birth of period-3 cycle

The logistic map and the birth of period-3 cycle

The goal of this paper is to present a proof that for the logistic map the period-3 begins at . The third-iterate map is the key for understanding the birth of the period-3 cycle. Any point in a period-3 cycle repeats every three iterates by definition. Such points satisfy the condition ,and the...

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Bibliographic Details
Main Authors: Luis Alberto Toro, Carlos Ariel Cardona, Yu. A. Pisarenko
Format: Article
Language:Russian
Published: MIREA - Russian Technological University 2012-06-01
Series:Тонкие химические технологии
Subjects:
<i>attractor</i>
<i>bifurcation diagram</i>
<i>dynamical systems</i>
<i>chaos</i>
<i>fixed points</i>
<i>logistic map</i>
<i>maps</i>
<i>symmetric polynomials</i>
<i>tangent condition</i>
<i>vector fields</i>
Online Access:https://www.finechem-mirea.ru/jour/article/view/741
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