Definition and modeling of infinite chaotic maps
A.F. Golubentsev, V.M. Anikin
Department of Physics, Saratov State University, Saratov, Russia
We prove the existence of solutions of inverse problem for Probenius-Perron equation in cases of infinite iteration functions:
and
Eq.(1) produces the infinite chaotic map having invariant measure in form of Z - distribution, Lyapunov number ln 2 and exact solution:
Eq.(2) gives the infinite chaotic map having invariant measure in form of F - distribution, Lyapunov number ln 2 and exact solution:
