Impulsive synchronization of Chen's hyperchaotic system

2006 ◽  
Vol 356 (3) ◽  
pp. 226-230 ◽  
Author(s):  
Mohammad Haeri ◽  
Mahsa Dehghani
Keyword(s):  
Hyperchaotic System ◽  
Impulsive Synchronization

PARTIAL STATE IMPULSIVE SYNCHRONIZATION OF A CLASS OF NONLINEAR SYSTEMS

2009 ◽  
Vol 19 (01) ◽  
pp. 387-393 ◽  
Author(s):  
YAN-WU WANG ◽  
CHANGYUN WEN ◽  
YENG CHAI SOH ◽  
ZHI-HONG GUAN
Keyword(s):  
Nonlinear System ◽  
Theoretical Analysis ◽  
Chaotic Systems ◽  
Lorenz System ◽  
Hyperchaotic System ◽  
Impulsive Synchronization ◽  
Partial State ◽  
Simulation Results ◽  
System States ◽  
Synchronization Scheme

Impulsive synchronization of chaotic systems is an attractive topic and a number of interesting results have been obtained in recent years. However, all of these results on impulsive synchronization need to employ full states of the system to achieve the desired objectives. In this paper, impulsive synchronization that needs only part of system states is studied for a class of nonlinear system. Typical chaotic systems, such as Lorenz system, Chen's system, and a 4D hyperchaotic system, are taken as examples. A new scheme is proposed to select the impulsive intervals. After some theoretical analysis, simulation results show the effectiveness of the proposed synchronization scheme.

scholarly journals Impulsive Synchronization and Adaptive-Impulsive Synchronization of a Novel Financial Hyperchaotic System

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Xiuli Chai ◽  
Zhihua Gan ◽  
Chunxiao Shi
Keyword(s):  
Dynamical Systems ◽  
Impulsive Control ◽  
Functional Differential Equations ◽  
Sufficient Conditions ◽  
Upper Bounds ◽  
Hyperchaotic System ◽  
Impulsive Synchronization ◽  
Control Scheme ◽  
Functional Differential ◽  
Invariant Principle

The impulsive synchronization and adaptive-impulsive synchronization of a novel financial hyperchaotic system are investigated. Based on comparing principle for impulsive functional differential equations, several sufficient conditions for impulsive synchronization are derived, and the upper bounds of impulsive interval for stable synchronization are estimated. Furthermore, a nonlinear adaptive-impulsive control scheme is designed to synchronize the financial system using invariant principle of impulsive dynamical systems. Moreover, corresponding numerical simulations are presented to illustrate the effectiveness and feasibility of the proposed methods.

scholarly journals Impulsive Synchronization of Chaotic Lur'e Systems by Measurement Feedback

1998 ◽  
Vol 08 (06) ◽  
pp. 1371-1381 ◽  
Author(s):  
J. A. K. Suykens ◽  
T. Yang ◽  
L. O. Chua
Keyword(s):  
Impulsive Control ◽  
Dynamic Measurement ◽  
Hyperchaotic System ◽  
Sufficient Condition ◽  
Matrix Inequalities ◽  
Lur’E Systems ◽  
Control Laws ◽  
Impulsive Synchronization ◽  
Chaotic Lur’E Systems ◽  
Measurement Feedback

In this paper we consider impulsive control of master-slave synchronization schemes that consist of identical Lur'e systems. Impulsive control laws are investigated which make use of linear or nonlinear dynamic measurement feedback. A sufficient condition for global asymptotic stability is presented which is characterized by a set of matrix inequalities. Synchronization is proven for the error between the output signals. The method is illustrated on Chua's circuit and a hyperchaotic system with coupled Chua's circuits.

scholarly journals Hyperchaotic Image Encryption Based on Multiple Bit Permutation and Diffusion

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 510
Author(s):  
Taiyong Li ◽  
Duzhong Zhang
Keyword(s):  
Big Data ◽  
Lyapunov Exponents ◽  
Image Encryption ◽  
Hyperchaotic System ◽  
Encryption Scheme ◽  
Image Content ◽  
Image Security ◽  
Level Data ◽  
Different Types ◽  
And Diffusion

Image security is a hot topic in the era of Internet and big data. Hyperchaotic image encryption, which can effectively prevent unauthorized users from accessing image content, has become more and more popular in the community of image security. In general, such approaches conduct encryption on pixel-level, bit-level, DNA-level data or their combinations, lacking diversity of processed data levels and limiting security. This paper proposes a novel hyperchaotic image encryption scheme via multiple bit permutation and diffusion, namely MBPD, to cope with this issue. Specifically, a four-dimensional hyperchaotic system with three positive Lyapunov exponents is firstly proposed. Second, a hyperchaotic sequence is generated from the proposed hyperchaotic system for consequent encryption operations. Third, multiple bit permutation and diffusion (permutation and/or diffusion can be conducted with 1–8 or more bits) determined by the hyperchaotic sequence is designed. Finally, the proposed MBPD is applied to image encryption. We conduct extensive experiments on a couple of public test images to validate the proposed MBPD. The results verify that the MBPD can effectively resist different types of attacks and has better performance than the compared popular encryption methods.

Impulsive synchronization and parameter mismatch of the three-variable autocatalator model

2007 ◽  
Vol 366 (1-2) ◽  
pp. 52-60 ◽  
Author(s):  
Yang Li ◽  
Xiaofeng Liao ◽  
Chuandong Li ◽  
Tingwen Huang ◽  
Degang Yang
Keyword(s):  
Parameter Mismatch ◽  
Impulsive Synchronization
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