scholarly journals On the projective function synchronization of chaos for two gyroscope systems under sinusoidal constraints

2013 ◽  
Vol 1 (3) ◽  
pp. 203-213 ◽  
Author(s):  
Fuhong Min ◽  
Albert C. J. Luo
Keyword(s):  
Projective Function ◽  
Function Synchronization

scholarly journals Secure Communication of Fractional Complex Chaotic Systems Based on Fractional Difference Function Synchronization

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-10 ◽  
Author(s):  
Jiaxun Liu ◽  
Zuoxun Wang ◽  
Minglei Shu ◽  
Fangfang Zhang ◽  
Sen Leng ◽  
...  
Keyword(s):  
Secure Communication ◽  
Chaotic Systems ◽  
Digital Signal ◽  
Fractional Difference ◽  
Voice Signal ◽  
Difference Function ◽  
Image Cryptosystem ◽  
Definition Of ◽  
Complex Chaotic Systems ◽  
Function Synchronization

Fractional complex chaotic systems have attracted great interest recently. However, most of scholars adopted integer real chaotic system and fractional real and integer complex chaotic systems to improve the security of communication. In this paper, the advantages of fractional complex chaotic synchronization (FCCS) in secure communication are firstly demonstrated. To begin with, we propose the definition of fractional difference function synchronization (FDFS) according to difference function synchronization (DFS) of integer complex chaotic systems. FDFS makes communication secure based on FCCS possible. Then we design corresponding controller and present a general communication scheme based on FDFS. Finally, we respectively accomplish simulations which transmit analog signal, digital signal, voice signal, and image signal. Especially for image signal, we give a novel image cryptosystem based on FDFS. The results demonstrate the superiority and good performances of FDFS in secure communication.

Synchronization, binding, multiscale dynamic processing, and neuron sociology

1997 ◽  
Vol 20 (4) ◽  
pp. 694-695
Author(s):  
Paul L. Nunez
Keyword(s):  
Information Processing ◽  
Large Scale ◽  
Binding Problem ◽  
Quantitative Models ◽  
Dynamic Function ◽  
Physiologically Based ◽  
Dynamic Processing ◽  
Function Synchronization ◽  
Well Posed

Well-posed questions about information processing may require physiologically based, quantitative models of large scale neocortical dynamic function. “Synchronization” of this dynamics can be viewed in different contexts of the binding problem.

CONTROL AND SYNCHRONIZATION OF JULIA SETS OF THE COMPLEX PERTURBED RATIONAL MAPS

2013 ◽  
Vol 23 (05) ◽  
pp. 1350083 ◽  
Author(s):  
YONGPING ZHANG
Keyword(s):  
Optimal Control ◽  
Function Method ◽  
Control Method ◽  
Control Function ◽  
Julia Set ◽  
Julia Sets ◽  
Rational Maps ◽  
Control And Synchronization ◽  
Function Synchronization ◽  
Optimal Control Function

The dynamical and fractal behaviors of the complex perturbed rational maps [Formula: see text] are discussed in this paper. And the optimal control function method is taken on the Julia set of this system. In this control method, infinity is regarded as a fixed point to be controlled. By substituting the driving item for an item in the optimal control function, synchronization of Julia sets of two such different systems is also studied.

scholarly journals Extract the Relational Information of Static Features and Motion Features for Human Activities Recognition in Videos

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Li Yao
Keyword(s):  
Bipartite Graph ◽  
Human Activities ◽  
Recognition Task ◽  
Small Dimension ◽  
Relational Information ◽  
Kl Divergence ◽  
Motion Features ◽  
Projective Function ◽  
Human Activities Recognition ◽  
The Relationship

Both static features and motion features have shown promising performance in human activities recognition task. However, the information included in these features is insufficient for complex human activities. In this paper, we propose extracting relational information of static features and motion features for human activities recognition. The videos are represented by a classical Bag-of-Word (BoW) model which is useful in many works. To get a compact and discriminative codebook with small dimension, we employ the divisive algorithm based on KL-divergence to reconstruct the codebook. After that, to further capture strong relational information, we construct a bipartite graph to model the relationship between words of different feature set. Then we use ak-way partition to create a new codebook in which similar words are getting together. With this new codebook, videos can be represented by a new BoW vector with strong relational information. Moreover, we propose a method to compute new clusters from the divisive algorithm’s projective function. We test our work on the several datasets and obtain very promising results.

Function Synchronization of the Fractional-Order Chaotic System

2013 ◽  
Vol 631-632 ◽  
pp. 1220-1225 ◽  
Author(s):  
J.W. Fan ◽  
N. Zhao ◽  
Y. Gao ◽  
H.L. Lan
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Error Function ◽  
Drive System ◽  
Order System ◽  
Secure Communications ◽  
Response System ◽  
Set Up ◽  
The Stability ◽  
Function Synchronization

Function synchronization is an important type of chaos synchronization because of enhancing the security of communication. In order to obtain the better conformances of function synchronization, a method of the fractional-order chaotic system is presented, which based on the stability theory of the fractional order system. This method need construct a parameter matrix and a coupled matrix using fractional-order chaotic drive system at first, and then the chaotic response system is set up with these matrixes. The synchronization error function between drive system and response system is satisfied with the asymptotic stability. Function synchronization of the fractional-order Rikitake chaotic system is selected as a typical example. Numerical simulation results demonstrate the validity of the presented method. This method not only has better synchronization conformances, but also can be applied in the chaotic secure communications.

Finite-time complex function synchronization of multiple complex-variable chaotic systems with network transmission and combination mode

2018 ◽  
Vol 24 (22) ◽  
pp. 5461-5471 ◽  
Author(s):  
Xiangyong Chen ◽  
Jinde Cao ◽  
Ju H Park ◽  
Guangdeng Zong ◽  
Jianlong Qiu
Keyword(s):  
Complex Variable ◽  
Finite Time ◽  
Chaotic Systems ◽  
Simulation Analysis ◽  
Complex Function ◽  
Finite Time Stability ◽  
Detailed Simulation ◽  
Synchronization Mechanisms ◽  
Combination Mode ◽  
Function Synchronization

Two kinds of finite-time complex function synchronization for multiple complex-variable chaotic systems are investigated. Both the transmission mode and combination mode are respectively considered. By considering complex functions as the scaling factors, the definitions of the two different synchronization mechanisms are established, and the appropriate schemes are proposed to guarantee the finite-time stability of all error systems. Furthermore, two verifiable criteria are derived to synchronize multi-systems. Finally, detailed simulation analysis is provided to validate the effectiveness of all innovations.

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.

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