Title

Approximations of Frobenius-Perron Operators Via Interpolation

Document Type

Article

Publication Date

5-1-2004

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Let S:[0,1]→[0,1] be a chaotic map and let P:L1(0,1)→L1(0,1) be the corresponding Frobenius–Perron operator. We propose a piecewise linear approximations method based on interpolation that can be efficiently used to compute a fixed density of P. The convergence of the method for a class of mappings is proved, and numerical results are also presented.

Publication Title

Nonlinear Analysis: Theory Methods & Applications

Volume

57

Issue

5-6

First Page

831

Last Page

842

Find in your library

Share

COinS