6533b857fe1ef96bd12b50a0
RESEARCH PRODUCT
On the population model with a sine function
A. VintereInese Bulasubject
Mathematical analysisChaotic-Function (mathematics)logistic functionchaotic functionCombinatoricssine functionPopulation modelModeling and SimulationQA1-939Interval (graph theory)SineLogistic functionMathematicsAnalysisMathematicsdescription
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 have similar graphs in [0,1] we conclude that it can lead to errors in practice. First Published Online: 14 Oct 2010
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2006-03-31 | Mathematical Modelling and Analysis |