HYPERCHAOS IN THE FRACTIONAL-ORDER NONAUTONOMOUS CHEN'S SYSTEM AND ITS SYNCHRONIZATION

Hongbin Zhang (), Chunguang Li, Guanrong Chen and Xing Gao
Additional contact information
Hongbin Zhang: Center for Nonlinear and Complex Systems, School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, P. R. China
Chunguang Li: Center for Nonlinear and Complex Systems, School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054, P. R. China
Guanrong Chen: Department of Electronic Engineering, City University of Hong Kong, Kowloon, Hong Kong SAR, P. R. China
Xing Gao: School of Electronic and Information, Southwest Nationalities University, Chengdu, Sichuan, 610041, P. R. China

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 05, 815-826

Abstract: Recently, a new hyperchaos generator, obtained by controlling a three-dimensional autonomous chaotic system — Chen's system — with a periodic driving signal, has been found. In this letter, we formulate and study the hyperchaotic behaviors in the corresponding fractional-order hyperchaotic Chen's system. Through numerical simulations, we found that hyperchaos exists in the fractional-order hyperchaotic Chen's system with order less than 4. The lowest order we found to have hyperchaos in this system is 3.4. Finally, we study the synchronization problem of two fractional-order hyperchaotic Chen's systems.

Keywords: Hyperchaos; fractional-order system; Chen's system (search for similar items in EconPapers)
Date: 2005
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0129183105007510
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:ijmpcx:v:16:y:2005:i:05:n:s0129183105007510

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0129183105007510

Access Statistics for this article

International Journal of Modern Physics C (IJMPC) is currently edited by H. J. Herrmann

More articles in International Journal of Modern Physics C (IJMPC) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().