Function projective synchronization of discrete-time chaotic and hyperchaotic systems using backstepping method

Yi Liang Jin; Xin Li; Yong Chen

doi:10.1088/0253-6102/50/1/24

Function projective synchronization of discrete-time chaotic and hyperchaotic systems using backstepping method

Yi Liang Jin, Xin Li, Yong Chen

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

6 Scopus citations

Abstract

In this paper, a function projective synchronization scheme is developed to investigate the function projective synchronization between the discrete-time driven chaotic system and the discrete-time response chaotic system. With the aid of symbolic-numeric computation, we use the scheme to study the function projective synchronization between 2D Lorenz discrete-time system and Hénon discrete-time system, as well as that between 3D discrete-time hyperchaotic system and Hénon-like map via three scalar controllers, respectively. Moreover numerical simulations are used to verify the effectiveness of the proposed scheme.

Original language	English
Pages (from-to)	111-116
Number of pages	6
Journal	Communications in Theoretical Physics
Volume	50
Issue number	1
DOIs	https://doi.org/10.1088/0253-6102/50/1/24
State	Published - 15 Jul 2008
Externally published	Yes

Keywords

Backstepping design
Discrete-time chaotic map
Discrete-time chaotic system
Function projective synchronization
Symbolic-numeric computation

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10.1088/0253-6102/50/1/24

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title = "Function projective synchronization of discrete-time chaotic and hyperchaotic systems using backstepping method",

abstract = "In this paper, a function projective synchronization scheme is developed to investigate the function projective synchronization between the discrete-time driven chaotic system and the discrete-time response chaotic system. With the aid of symbolic-numeric computation, we use the scheme to study the function projective synchronization between 2D Lorenz discrete-time system and H{\'e}non discrete-time system, as well as that between 3D discrete-time hyperchaotic system and H{\'e}non-like map via three scalar controllers, respectively. Moreover numerical simulations are used to verify the effectiveness of the proposed scheme.",

keywords = "Backstepping design, Discrete-time chaotic map, Discrete-time chaotic system, Function projective synchronization, Symbolic-numeric computation",

author = "Jin, \{Yi Liang\} and Xin Li and Yong Chen",

year = "2008",

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doi = "10.1088/0253-6102/50/1/24",

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T1 - Function projective synchronization of discrete-time chaotic and hyperchaotic systems using backstepping method

AU - Jin, Yi Liang

AU - Li, Xin

AU - Chen, Yong

PY - 2008/7/15

Y1 - 2008/7/15

N2 - In this paper, a function projective synchronization scheme is developed to investigate the function projective synchronization between the discrete-time driven chaotic system and the discrete-time response chaotic system. With the aid of symbolic-numeric computation, we use the scheme to study the function projective synchronization between 2D Lorenz discrete-time system and Hénon discrete-time system, as well as that between 3D discrete-time hyperchaotic system and Hénon-like map via three scalar controllers, respectively. Moreover numerical simulations are used to verify the effectiveness of the proposed scheme.

AB - In this paper, a function projective synchronization scheme is developed to investigate the function projective synchronization between the discrete-time driven chaotic system and the discrete-time response chaotic system. With the aid of symbolic-numeric computation, we use the scheme to study the function projective synchronization between 2D Lorenz discrete-time system and Hénon discrete-time system, as well as that between 3D discrete-time hyperchaotic system and Hénon-like map via three scalar controllers, respectively. Moreover numerical simulations are used to verify the effectiveness of the proposed scheme.

KW - Backstepping design

KW - Discrete-time chaotic map

KW - Discrete-time chaotic system

KW - Function projective synchronization

KW - Symbolic-numeric computation

UR - https://www.scopus.com/pages/publications/51349165349

U2 - 10.1088/0253-6102/50/1/24

DO - 10.1088/0253-6102/50/1/24

M3 - 文章

AN - SCOPUS:51349165349

SN - 0253-6102

VL - 50

SP - 111

EP - 116

JO - Communications in Theoretical Physics

JF - Communications in Theoretical Physics

IS - 1

ER -

Function projective synchronization of discrete-time chaotic and hyperchaotic systems using backstepping method

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Keywords

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