Approximations of Frobenius-Perron Operators Via Interpolation

Authors

Jiu Ding, University of Southern MississippiFollow
N.H. Rhee, University of Missouri-Kansas CityFollow

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

Recommended Citation

Ding, J., Rhee, N. (2004). Approximations of Frobenius-Perron Operators Via Interpolation. Nonlinear Analysis: Theory Methods & Applications, 57(5-6), 831-842.
Available at: https://aquila.usm.edu/fac_pubs/3282