Special Session 28: 

Dynamics for Mira maps near anti-integrable limits

Chen-Chang Peng
Department of Applied Mathematics, National Chiayi University, Taiwan
Taiwan
Co-Author(s):    
Abstract:
In this talk, first we introduce that why we study Mira maps and some results about chaos near anti-integrable limits. Near anti-integrable limits, the invariant subsets are hyperbolic repellers but are not all conformal. We prove that these repellers for Mira maps coincide with the attractors of the related iterated function systems and estimate the upper and lower bounds of the fractal dimensions of the attractors for the iterated function systems.