Hyperchaos in the fractional-order nonautonomous chen's system and its synchronization

Hongbin Zhang; L. I. Chunguang; Guanrong Chen; Xing Gao

doi:10.1142/S0129183105007510

Author(s)

Hongbin Zhang
L. I. Chunguang
Guanrong Chen
Xing Gao

Related Research Unit(s)

Department of Electrical Engineering

Detail(s)

Original language	English
Pages (from-to)	815-826
Journal / Publication	International Journal of Modern Physics C
Volume	16
Issue number	5
Publication status	Published - Jul 2005

Link(s)

DOI	DOI https://doi.org/10.1142/S0129183105007510 Final Published version
	Check@CityULib
Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-22544474192&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(ca0c3ff4-b40f-4bb4-aed4-2482f3e6a036).html

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. © World Scientific Publishing Company.