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Golubentsev A.F., Anikin V.M.

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:

equation713

and

equation715

Eq.(1) produces the infinite chaotic map having invariant measure in form of Z - distribution, Lyapunov number ln 2 and exact solution:

equation717

Eq.(2) gives the infinite chaotic map having invariant measure in form of F - distribution, Lyapunov number ln 2 and exact solution:

equation720



Book of abstracts
ICND-96