On q-deformed logistic maps.
| Autor: | Cánovas, Jose S. |
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| Zdroj: | Discrete & Continuous Dynamical Systems - Series B; May2022, Vol. 27 Issue 5, p2833-2848, 16p |
| Abstrakt: | We consider the logistic family f a f a and a family of homeomorphisms ϕ q ϕ q. The q q -deformed system is given by the composition map f a ∘ ϕ q f a ∘ ϕ q. We study when this system has non zero fixed points which are LAS and GAS. We also give an alternative approach to study the dynamics of the q q -deformed system with special emphasis on the so-called Parrondo's paradox finding parameter values a a for which f a f a is simple while f a ∘ ϕ q f a ∘ ϕ q is dynamically complicated. We explore the dynamics when several q q -deformations are applied. [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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