Skip Navigation



IMA Journal of Applied Mathematics Advance Access published online on October 27, 2009
IMA Journal of Applied Mathematics, doi:10.1093/imamat/hxp028
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Lin, W.-W.
Right arrow Articles by Wang, Y.-Q.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The Author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Chaotic synchronization in lattices of two-variable maps coupled with one variable

Wen-Wei Lin{dagger}

Department of Mathematics, National Chiao Tung University, Hsinchu 30010, Taiwan, Republic of China

Chen-Chang Peng{ddagger}

Department of Applied Mathematics, National Chiayi University, Chiayi City 60004, Taiwan, Republic of China

Yi-Qian Wang§

Department of Mathematics, Nanjing University, Nanjing 210093, People's Republic of China

{dagger} Email: wwlin{at}math.nctu.edu.tw

{ddagger} Email: ccpeng{at}mail.ncyu.edu.tw

§ Corresponding author. Email: yqwangnju{at}yahoo.com

Received on October 4, 2007; Revision received September 8, 2009. Accepted on September 30, 2009

In this paper, we study chaotic synchronization in 1D lattices of two-variable maps coupled with one variable. We give a rigourous proof for the occurrence of chaotic synchronization of spatially homogeneous solutions in such coupled map lattices (CMLs) of lattice size n = 4 with suitable coupling coefficients. For the case of lattice size n > 4, we demonstrate numerical results of synchronized chaotic behaviour of the CMLs. Moreover, we show numerically that the difference between two variables manifests chaotic behaviour. This behaviour combined with the special coupling method in the CMLs guarantees high security in applications using our new model.

Keywords: chaotic synchronization; coupled map lattices; Lyapunov method; hyperchaos.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.