Invariant density for a class of initial distributions under quadratic mapping

11 November 1985

journal article
Published by IOP Publishing in Journal of Physics A: General Physics

Vol. 18 (16) , L1021-L1023
https://doi.org/10.1088/0305-4470/18/16/005

Abstract

For the discrete-time quadratic map x_t+1=4x_t(1-x_t) the evolution equation for a class of non-uniform initial densities is obtained. It is shown that in the t to infinity limit all of them approach the invariant density for the map.

Keywords

INITIAL DISTRIBUTIONS
INVARIANT DENSITY
DISCRETE TIME
EVOLUTION
INITIAL DENSITIES
QUADRATIC MAP
MAP XT

This publication has 1 reference indexed in Scilit:

Evolution of the density for a chaotic map
Physics Letters A, 1984