The function cascade synchronization approach with uncertain parameters or not for hyperchaotic systems

Yong Chen; Hongli An; Zhibin Li

doi:10.1016/j.amc.2007.07.036

The function cascade synchronization approach with uncertain parameters or not for hyperchaotic systems

Yong Chen^*
, Hongli An
, Zhibin Li

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

58 Scopus citations

Abstract

The function cascade synchronization scheme for the hyperchaotic systems is proposed to make the states of two identical the hyperchaotic systems both with and without uncertain parameters asymptotically synchronized. Based on Lyapunov stability theory and the proposed scheme, the Lü system and Chen hyperchaotic system with and without uncertain parameters are chosen to achieve the function cascade synchronization simultaneously. Numerical simulations are used to verify the effectiveness and feasibility of the presented control scheme.

Original language	English
Pages (from-to)	96-110
Number of pages	15
Journal	Applied Mathematics and Computation
Volume	197
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2007.07.036
State	Published - 15 Mar 2008

Keywords

Function cascade approach
Hyperchaotic synchronization system
Hyperchaotic systems

Access to Document

10.1016/j.amc.2007.07.036

Cite this

@article{a1dd51f925df4b37806beee923d3e32c,

title = "The function cascade synchronization approach with uncertain parameters or not for hyperchaotic systems",

abstract = "The function cascade synchronization scheme for the hyperchaotic systems is proposed to make the states of two identical the hyperchaotic systems both with and without uncertain parameters asymptotically synchronized. Based on Lyapunov stability theory and the proposed scheme, the L{\"u} system and Chen hyperchaotic system with and without uncertain parameters are chosen to achieve the function cascade synchronization simultaneously. Numerical simulations are used to verify the effectiveness and feasibility of the presented control scheme.",

keywords = "Function cascade approach, Hyperchaotic synchronization system, Hyperchaotic systems",

author = "Yong Chen and Hongli An and Zhibin Li",

year = "2008",

month = mar,

day = "15",

doi = "10.1016/j.amc.2007.07.036",

language = "英语",

volume = "197",

pages = "96--110",

journal = "Applied Mathematics and Computation",

issn = "0096-3003",

publisher = "Elsevier Inc.",

number = "1",

}

TY - JOUR

T1 - The function cascade synchronization approach with uncertain parameters or not for hyperchaotic systems

AU - Chen, Yong

AU - An, Hongli

AU - Li, Zhibin

PY - 2008/3/15

Y1 - 2008/3/15

N2 - The function cascade synchronization scheme for the hyperchaotic systems is proposed to make the states of two identical the hyperchaotic systems both with and without uncertain parameters asymptotically synchronized. Based on Lyapunov stability theory and the proposed scheme, the Lü system and Chen hyperchaotic system with and without uncertain parameters are chosen to achieve the function cascade synchronization simultaneously. Numerical simulations are used to verify the effectiveness and feasibility of the presented control scheme.

AB - The function cascade synchronization scheme for the hyperchaotic systems is proposed to make the states of two identical the hyperchaotic systems both with and without uncertain parameters asymptotically synchronized. Based on Lyapunov stability theory and the proposed scheme, the Lü system and Chen hyperchaotic system with and without uncertain parameters are chosen to achieve the function cascade synchronization simultaneously. Numerical simulations are used to verify the effectiveness and feasibility of the presented control scheme.

KW - Function cascade approach

KW - Hyperchaotic synchronization system

KW - Hyperchaotic systems

UR - https://www.scopus.com/pages/publications/39149136168

U2 - 10.1016/j.amc.2007.07.036

DO - 10.1016/j.amc.2007.07.036

M3 - 文章

AN - SCOPUS:39149136168

SN - 0096-3003

VL - 197

SP - 96

EP - 110

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

The function cascade synchronization approach with uncertain parameters or not for hyperchaotic systems

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this