Open Access
VOL. 53 | 2009 Detection of periodic driving in nonautonomous difference equations
Timothy Sauer

Editor(s) Saber Elaydi, Kazuo Nishimura, Mitsuhiro Shishikura, Nobuyuki Tose

Adv. Stud. Pure Math., 2009: 301-309 (2009) DOI: 10.2969/aspm/05310301

Abstract

An algorithm is proposed for determining the periodic behavior of the common driver of a system of nonautonomous difference equations from observations of the equation trajectories only. Methods of attractor reconstruction are used to build a semiconjugacy to a topological version of the driver system. The algorithm is described in detail and implemented on several examples.

Information

Published: 1 January 2009
First available in Project Euclid: 28 November 2018

zbMATH: 1179.65159
MathSciNet: MR2582427

Digital Object Identifier: 10.2969/aspm/05310301

Rights: Copyright © 2009 Mathematical Society of Japan

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