Finite-time synchronization in an array of chaotic and hyperchaotic systems

2017 ◽  
Author(s):  
Mingyue Li ◽  
Xiangyong Chen ◽  
Jinde Cao ◽  
Ju H. Park ◽  
Xiaohua Li ◽  
...  
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Hyperchaotic Systems

Finite-time synchronization of memristive hyperchaotic systems

2017 ◽  
Author(s):  
Junjian Huang ◽  
Yanjun Liu ◽  
Changjiu Pu ◽  
Yu Qin ◽  
Wei Zhang ◽  
...  
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Hyperchaotic Systems

Finite-Time Synchronization for High-Dimensional Chaotic Systems and Its Application to Secure Communication

2016 ◽  
Vol 11 (5) ◽  
Author(s):  
Yongjian Liu ◽  
Lijie Li ◽  
Yu Feng
Keyword(s):  
Finite Time ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Control Technique ◽  
High Dimensional ◽  
Time Stability ◽  
Finite Time Stability ◽  
Information Signal ◽  
Hyperchaotic Systems

The finite-time synchronization for the high-dimensional chaotic system is studied. A method is derived from the finite-time stability theory and adaptive control technique. To show the wider applicability of our method, an illustration is given using four-dimensional (4D) hyperchaotic systems. Numerical simulations are also used to verify the effectiveness of the technique. Then, the synchronization is applied to secure communication through chaos masking. Simulation results show that the two high-dimensional chaotic systems can realize monotonous synchronization, and the information signal, which is masked, can be recovered undistortedly.

scholarly journals Finite-Time Adaptive Synchronization of a New Hyperchaotic System with Uncertain Parameters

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Ma Yongguang ◽  
Dong Zijian
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Adaptive Synchronization ◽  
Control Law ◽  
Hyperchaotic System ◽  
Finite Time Stability ◽  
Synchronization Scheme ◽  
New Hyperchaotic System ◽  
Hyperchaotic Systems ◽  
Adaptive Control Law

This paper presents a finite-time adaptive synchronization strategy for a class of new hyperchaotic systems with unknown slave system’s parameters. Based on the finite-time stability theory, an adaptive control law is derived to make the states of the new hyperchaotic systems synchronized in finite-time. Numerical simulations are presented to show the effectiveness of the proposed finite time synchronization scheme.

scholarly journals Finite-Time Combination-Combination Synchronization for Hyperchaotic Systems

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Huini Lin ◽  
Jianping Cai ◽  
Jincheng Wang
Keyword(s):  
Finite Time ◽  
Time Synchronization ◽  
Control Method ◽  
Control Technique ◽  
Finite Time Stability ◽  
Combination Synchronization ◽  
Response Systems ◽  
Nonlinear Control Method ◽  
Drive Systems ◽  
Hyperchaotic Systems

A new type of finite-time synchronization with two drive systems and two response systems is presented. Based on the finite-time stability theory, step-by-step control and nonlinear control method, a suitable controller is designed to achieve finite-time combination-combination synchronization among four hyperchaotic systems. Numerical simulations are shown to verify the feasibility and effectiveness of the proposed control technique.

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