Generalising the logistic map through the $q$-product

Robson W. S. Pessoa, Ernesto P. Borges

We investigate a generalisation of the logistic map as $x_{n+1}=1-a{x}_n{\otimes }_{q_{map}}{x}_n$ ($-1\le x_n\le 1$, $0<a\le 2$) where ${\otimes }_q$ stands for a generalisation of…