Robust finite-time synchronization of non-identical fractional-order hyperchaotic systems and its application in secure communication

2019 ◽  
Vol 6 (1) ◽  
pp. 228-235 ◽  
Author(s):  
Hadi Delavari ◽  
Milad Mohadeszadeh
Keyword(s):  
Fractional Order ◽  
Finite Time ◽  
Secure Communication ◽  
Time Synchronization ◽  
Hyperchaotic Systems

Multi-scroll fractional-order chaotic system and finite-time synchronization

2022 ◽  
Author(s):  
Shaohui Yan ◽  
Qiyu Wang ◽  
Ertong Wang ◽  
Xi Sun ◽  
Zhenlong Song
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Finite Time ◽  
Secure Communication ◽  
Analog Circuit ◽  
Time Synchronization ◽  
Hidden Attractor ◽  
Initial Values ◽  
Coexistence Of Attractors ◽  
The Time Domain

Abstract The definition of fractional calculus is introduced into the 5D chaotic system, and the 5D fractional-order chaotic system is obtained. The new 5D fractional-order chaotic system has no equilibrium, multi-scroll hidden attractor and multi-stability. By analyzing the time-domain waveform, phase diagram, bifurcation diagram and complexity, it is found that the system has no equilibrium but is very sensitive to parameters and initial values. With the variation of different parameters, the system can produce attractors of different scroll types accompanied by bursting oscillation. Secondly, the multi-stability of the hidden attractor is studied. Different initial values lead to the coexistence of attractors of different scroll number, which shows the advantages of the system. The correctness and realizability of the fractional-order chaotic system are proved by analog circuit and physical implement. Finally, because of the high security of multi-scroll attractor and hidden attractor, finite-time synchronization based on the fractional-order chaotic system is studied, which has a good application prospect in the field of secure communication.

scholarly journals Hidden Coexisting Attractors in a Fractional-Order System without Equilibrium: Analysis, Circuit Implementation, and Finite-Time Synchronization

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Guangchao Zheng ◽  
Ling Liu ◽  
Chongxin Liu
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Finite Time ◽  
Secure Communication ◽  
Time Synchronization ◽  
Basins Of Attraction ◽  
Fractional Order System ◽  
Equilibrium Analysis ◽  
Order System ◽  
Coexisting Attractors

In this paper, a novel three-dimensional fractional-order chaotic system without equilibrium, which can present symmetric hidden coexisting chaotic attractors, is proposed. Dynamical characteristics of the fractional-order system are analyzed fully through numerical simulations, mainly including finite-time local Lyapunov exponents, bifurcation diagram, and the basins of attraction. In particular, the system can generate diverse coexisting attractors varying with different orders, which presents ample and complex dynamic characteristics. And there is great potential for secure communication. Then electronic circuit of the fractional-order system is designed to help verify its effectiveness. What is more, taking the disturbances into account, a finite-time synchronization of the fractional-order chaotic system without equilibrium is achieved and the improved controller is proven strictly by applying finite-time stable theorem. Eventually, simulation results verify the validity and rapidness of the proposed method. Therefore, the fractional-order chaotic system with hidden attractors can present better performance for practical applications, such as secure communication and image encryption, which deserve further investigation.

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.

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