A SYSTEM OF PLANAR PIECEWISE ISOMETRIC SYSTEMS AND CODINGS OF THESE SYSTEMS

M.R. Sharifipour, H.M. Mohammadinejad
2017 International Journal of Pure and Applied Mathematics  
In this paper we investigate dynamics of a system of planar piecewise isometric systems. At first we introduce a coding map on a system of planar piecewise isometric systems then we extend the coding map onto the entire phase space and prove that there exist an essential coding for a singular point. At the end of this paper we investigate some important sets including singular sets, exceptional sets, rational sets, etc... generated by a system of planar piecewise isometric systems.
doi:10.12732/ijpam.v114i3.5 fatcat:xpyvf6rd3vbkhdzzsq4z3mi2ly