Impulsive synchronization of Lorenz systems

被引：111

作者：

Yang, T

Yang, LB

Yang, CM

机构：

[1] UNIV E ZHOU,E ZHOU 436000,HUBEI,PEOPLES R CHINA

[2] CHINA CONSTRUCT BANK,SONJIANG SUB BRANCH,SHANGHAI 201611,PEOPLES R CHINA

[3] UNIV CALIF BERKELEY,DEPT ELECT ENGN & COMP SCI,BERKELEY,CA 94720

来源：

PHYSICS LETTERS A | 1997年 / 226卷 / 06期

关键词：

impulsive synchronization; chaos; Lorenz system; impulsive differential equation;

D O I：

10.1016/S0375-9601(97)00004-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study impulsive synchronization of two Lorenz systems. In an impulsive synchronization scheme, driving signals are transmitted to the driven system at discrete instants. The driven system changes its state variables instantaneously at these discrete instants according to synchronization errors. An asymptotically stable impulsive synchronization scheme is presented. The boundaries of stable regions of impulsive synchronization are also presented. Computer simulation results are given.

引用

页码：349 / 354

页数：6

共 8 条

[1] FROM CHAOS TO ORDER - PERSPECTIVES AND METHODOLOGIES IN CONTROLLING CHAOTIC NONLINEAR DYNAMICAL SYSTEMS [J].

Chen, Guanrong ;

Dong, Xiaoning .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (06) :1363-1409

[2]

LAKSHMIKANTHAM D, 1989, Theory of impulsive differential equations

[3]

LORENZ EN, 1963, J ATMOS SCI, V20, P130, DOI 10.1175/1520-0469(1963)020<0130:DNF>2.0.CO

[4]

[5] Unmasking a modulated chaotic communications scheme [J].

Short, KM .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1996, 6 (02) :367-375

[6]

SHORT KM, 1994, INT J BIFURCAT CHAOS, V4, P957

[7] Driving and synchronizing by chaotic impulses [J].

Stojanovski, T ;

Kocarev, L ;

Parlitz, U .

PHYSICAL REVIEW E, 1996, 54 (02) :2128-2131

[8] RECOVERY OF DIGITAL SIGNALS FROM CHAOTIC SWITCHING [J].

YANG, T .

INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 1995, 23 (06) :611-615

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