scholarly journals Time-Delay Characteristics of Complex Lü System and Its Application in Speech Communication

Entropy ◽  
2020 ◽  
Vol 22 (11) ◽  
pp. 1260
Author(s):  
Junmei Guo ◽  
Chunrui Ma ◽  
Zuoxun Wang ◽  
Fangfang Zhang
Keyword(s):  
Time Delay ◽  
The Self ◽  
Speech Communication ◽  
Lü System ◽  
Communication Scheme ◽  
Double Time ◽  
Lu System

Although complex Lü systems have been considered in many studies, application of the self-time-delay synchronization (STDS) of complex Lü systems in secure speech communications does not appear to have been covered in much of the literature. Therefore, it is meaningful to study the STDS of complex Lü systems and its application in secure speech communication. First, a complex Lü system with double time-delay is introduced and its chaotic characteristics are analyzed. Second, a synchronization controller is designed to achieve STDS. Third, the improved STDS controller is used to design a speech communication scheme based on a complex Lü system. Finally, the effectiveness of the controller and communication scheme are verified by simulation.

scholarly journals A New Synchronization Method for Time-Delay Fractional Complex Chaotic System and Its Application

Mathematics ◽  
2021 ◽  
Vol 9 (24) ◽  
pp. 3305
Author(s):  
Junmei Guo ◽  
Chunrui Ma ◽  
Xinheng Wang ◽  
Fangfang Zhang ◽  
Michaël Antonie van Wyk ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Time Delay ◽  
Secure Communication ◽  
Speech Communication ◽  
Lü System ◽  
Adomian Decomposition ◽  
Speech Transmission ◽  
Definition Of ◽  
Lu System ◽  
Function Synchronization

This paper proposes a class of time-delay fractional complex Lu¨ system and utilizes the adomian decomposition algorithm to study the dynamics of the system. Firstly, the time chaotic attractor, coexistence attractor and parameter space are studied. The bifurcation diagram and complexity are used to analyze the dynamic characteristics of the system. Secondly, the definition of modified fractional projective difference function synchronization (MFPDFS) is introduced. The corresponding synchronous controller is designed to realize the MFPDFS of the time-delay fractional complex Lu¨ system. Thirdly, based on the background of wireless speech communication system (WSCs), the MFPDFS controller is used to realize the secure speech transmission. Finally, the effectiveness of the controller is verified by numerical simulation. The signal-noise ratio (SNR) analysis of speech transmission is given. The performance of secure communication is verified by numerical simulation.

On modified time delay hyperchaotic complex Lü system

2015 ◽  
Vol 80 (1-2) ◽  
pp. 855-869 ◽  
Author(s):  
Gamal M. Mahmoud ◽  
Emad E. Mahmoud ◽  
Ayman A. Arafa
Keyword(s):  
Time Delay ◽  
Lü System ◽  
Lu System

Tracking the state of the delay hyperchaotic Lü system using the coullet chaotic system via a single controller

Complexity ◽  
2014 ◽  
Vol 21 (5) ◽  
pp. 125-130 ◽  
Author(s):  
Yan Zhou ◽  
Xuerong Shi ◽  
Zuolei Wang ◽  
Juanjuan Huang ◽  
Keming Tang ◽  
...  
Keyword(s):  
Chaotic System ◽  
The State ◽  
Lü System ◽  
Single Controller ◽  
Hyperchaotic Lu System ◽  
Lu System

THE NONEQUIVALENCE AND DIMENSION FORMULA FOR ATTRACTORS OF LORENZ-TYPE SYSTEMS

2013 ◽  
Vol 23 (12) ◽  
pp. 1350200 ◽  
Author(s):  
YUMING CHEN ◽  
QIGUI YANG
Keyword(s):  
Upper Bound ◽  
Analytical Formula ◽  
Type Systems ◽  
Lyapunov Dimension ◽  
Dimension Formula ◽  
Lü System ◽  
Suitable Parameter ◽  
Lu System

In this paper, Lü system with a set of chaotic parameters is proved to be smoothly nonequivalent to Chen and Lorenz systems with any parameter. The analytical formula for the upper bound of Lyapunov dimension of attractors in Lorenz-type systems are presented under some suitable parameter conditions. These properties studied in this paper may contribute to a better understanding of the Lorenz-type systems.

scholarly journals Darboux integrability of the Lü system

2013 ◽  
Vol 63 ◽  
pp. 118-128 ◽  
Author(s):  
Jaume Llibre ◽  
Adam Mahdi ◽  
Clàudia Valls
Keyword(s):  
Darboux Integrability ◽  
Lü System ◽  
Lu System
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