Detecting unstable periodic orbits in chaotic systems by using an efficient algorithm

How to detect unstable periodic orbits (UPOs) which reside on the chaotic attractors is an important problem in diverse scientific fields. In this paper, we present an efficient algorithm for computing UPOs. It can be applied to any finite dimensional chaotic systems including hyperchaotic systems....

Full description

Saved in:

Bibliographic Details
Published in:	Chaos, solitons and fractals Vol. 22; no. 1; pp. 237 - 241
Main Authors:	Bu, Shouliang, Wang, Bing-Hong, Jiang, Pin-Qun
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.10.2004
ISSN:	0960-0779, 1873-2887
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	How to detect unstable periodic orbits (UPOs) which reside on the chaotic attractors is an important problem in diverse scientific fields. In this paper, we present an efficient algorithm for computing UPOs. It can be applied to any finite dimensional chaotic systems including hyperchaotic systems. We also discuss numerically the converging regions of the algorithm here. The chaotic Henon map is taken as numerical example in the text.
ISSN:	0960-0779 1873-2887
DOI:	10.1016/j.chaos.2003.12.089