Controlling the complex Lorenz equations by modulation

Kociuba, G. and Heckenberg, N. R. (2002) Controlling the complex Lorenz equations by modulation. Physical Review E (Statistical, Nonlinear, and Soft Matter Physics), 66 2: 026205-1-026205-5. doi:10.1103/PhysRevE.66.026205

Attached Files (Some files may be inaccessible until you login with your UQ eSpace credentials)
Name Description MIMEType Size Downloads
UQ61647.pdf Full text (open access) application/pdf 648KB 7

Author Kociuba, G.
Heckenberg, N. R.
Title Controlling the complex Lorenz equations by modulation
Journal name Physical Review E (Statistical, Nonlinear, and Soft Matter Physics)   Check publisher's open access policy
ISSN 1539-3755
Publication date 2002
Sub-type Article (original research)
DOI 10.1103/PhysRevE.66.026205
Open Access Status File (Publisher version)
Volume 66
Issue 2
Start page 026205-1
End page 026205-5
Total pages 5
Editor Oppenheimer, I.
Place of publication United States
Publisher American Physical Society
Collection year 2002
Language eng
Subject C1
240402 Quantum Optics and Lasers
780102 Physical sciences
Abstract We demonstrate that a system obeying the complex Lorenz equations in the deep chaotic regime can be controlled to periodic behavior by applying a modulation to the pump parameter. For arbitrary modulation frequency and amplitude there is no obvious simplification of the dynamics. However, we find that there are numerous windows where the chaotic system has been controlled to different periodic behaviors. The widths of these windows in parameter space are narrow, and the positions are related to the ratio of the modulation frequency of the pump to the average pulsation frequency of the output variable. These results are in good agreement with observations previously made in a far-infrared laser system.
Keyword Physics, Fluids & Plasmas
Physics, Mathematical
Controlling Chaos
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
School of Physical Sciences Publications
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 12 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 14 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Tue, 14 Aug 2007, 17:21:39 EST