On the population model with a sine function

In the interval [0,1] function sr(x) = r sin πx behaves similar to logistic function h μ (x) = μx(1‐ x). We prove that for every r >  there exists subset ? ⊂ [0,1] such that sr : ? → ? is a chaotic function. Since the logistic function is chaotic in another subset of [0,1] but both functions hav...

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Bibliographic Details
Main Authors: I. Bula, A. Vintere
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2006-03-01
Series:Mathematical Modelling and Analysis
Subjects:
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Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9595