Attractor for minimal iterated function systems

2023/03/22 by Aliasghar Sarizadeh, Sarizadeh, Aliasghar
Mathematics · Engineering · Physics and Astronomy · #Mathematical Dynamics and Fractals #Stability and Controllability of Differential Equations #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2303.12349

Abstract

In the present work, we study the attractors of iterated function systems (IFSs) on connected and compact metric spaces. We prove that the whole of the phase space of a forward minimal IFS, for which some map admits an attracting fixed point, is an attractor.

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