Addendum and corrigendum to 'On the chaos game of iterated function systems'

Autor: F. H. Ghane, Maxwell Fitzsimmons, Dominique Malicet, Aliasghar Sarizadeh, Pablo G. Barrientos
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Topol. Methods Nonlinear Anal. 55, no. 2 (2020), 601-616
Popis: We provide a counter-example to Theorem 1.4(a) in Topol. Methods Nonlinear Anal. 49 (2017), no. 1, 105-132, by showing that the closure of the $\Gamma$-orbit of a point $x$ in the pointwise basin of $\mathrm{Ls}$-attraction of a quasi-attractor $A$ is not compact. In order to fix this gap, we modified the definition of $\mathrm{Ls}$-basin of attraction. In addiction, we propose a better place to play the chaos game and as a consequence we get some additional results on strongly-fibred quasi-attractors and Conley attractors.
Databáze: OpenAIRE