1999年11月

# Inverse problem and central limit theorem in chaotic map theory

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
• K Sogo

68
11

3469

3472

DOI
10.1143/JPSJ.68.3469

PHYSICAL SOCIETY JAPAN

An inverse problem to find chaotic map(s) having a given invariant measure is formulated using a functional equation. A set of exact solutions. termed the Chebyshev hierarchy (maps defined by Chebyshev polynomials), is found for this equation. Then, an analogue of the central limit theorem is formulated and is exemplified by the Chebyshev hierarchy through explicit calculations.

Web of Science ® 被引用回数 : 3

リンク情報
DOI
https://doi.org/10.1143/JPSJ.68.3469
CiNii Articles
http://ci.nii.ac.jp/naid/110001955305
Web of Science