DENSITY OF FIBERWISE ORBITS IN MINIMAL ITERATED FUNCTION SYSTEMS ON THE CIRCLE

作者：Barrientos Pablo G^*; Fakhari Abbas; Sarizadeh Aliasghar

来源：Discrete and Continuous Dynamical Systems, 2014, 34(9): 3341-3352.

DOI：10.3934/dcds.2014.34.3341

• Minimal IFS on the circle
• minimality of orbital branches (fiberwise orbits)

We study the minimality of almost every orbital branch of minimal iterated function systems (IFSs). We prove that this kind of minimality holds for forward and backward minimal IFSs generated by orientation-preserving homeomorphisms of the circle. We provide new examples of iterated functions systems where this behavior persists under perturbation of the generators.

• 出版日期2014-9