Abstract
In this paper, for iterated function systems, we define the classic concept of the dynamical systems: topological conjugacy of diffeomorphisms. We generalize the Hartman-Grobman theorem for one-dimensional iterated function systems on $\mathbb {R}$ Also, we introduce the basic concept of structural stability for an iterated function system, and therefore, we investigate the necessary condition for structural stability of an iterated function system on $\mathbb {R}$
Citation
Mehdi Fatehi Nia. Fatemeh Rezaei. "Hartman-Grobman theorem for iterated function systems." Rocky Mountain J. Math. 49 (1) 307 - 333, 2019. https://doi.org/10.1216/RMJ-2019-49-1-307
Information