scholarly journals Secure Communication Based on a Hyperchaotic System with Disturbances

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Bo Wang ◽  
Xiucheng Dong
Keyword(s):  
Numerical Simulations ◽  
Secure Communication ◽  
Lyapunov Method ◽  
Hyperchaotic System ◽  
Scheme Design ◽  
Chaotic Secure Communication ◽  
New Hyperchaotic System

This paper studies the problem on chaotic secure communication, and a new hyperchaotic system is included for the scheme design. Based on Lyapunov method andH∞techniques, two kinds of chaotic secure communication schemes in the case that system disturbances exist are presented for the possible application in real engineering; corresponding theoretical derivations are also provided. In the end, some typical numerical simulations are carried out to demonstrate the effectiveness of the proposed schemes.

Hybrid Synchronization Between 5-th Order Hyperchaotic Chua Systems

2015 ◽  
Vol 13 (1-2) ◽  
pp. 25-34
Author(s):  
Dragomir Chantov
Keyword(s):  
Active Control ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Lyapunov Method ◽  
Chaotic Synchronization ◽  
Synchronization System ◽  
Hybrid Synchronization ◽  
The Stability ◽  
Chaotic Secure Communication ◽  
Fifth Order

Abstract The aim of this paper is the design of a chaotic synchronization system with a special type of synchronization, called hybrid synchronization, on the basis of Chua’s fifth-order hyperchaotic model. When two chaotic systems are in hybrid synchronization, some of the systems’ variables pairs are in identical synchronization, and the rest are anti-synchronized. Hybrid synchronization schemes have advantages regarding the degree of signal protection, when they are used to build a chaotic secure communication system. The design of the system is accomplished by means of active control, where the Second Lyapunov method is used to prove the stability of the synchronization system.

scholarly journals Dynamical Analysis, Synchronization, Circuit Design, and Secure Communication of a Novel Hyperchaotic System

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-23 ◽  
Author(s):  
Li Xiong ◽  
Zhenlai Liu ◽  
Xinguo Zhang
Keyword(s):  
Secure Communication ◽  
Control Method ◽  
Dynamical Behavior ◽  
Control Level ◽  
Lyapunov Stability Theory ◽  
Dynamical Analysis ◽  
Linear Feedback ◽  
Hyperchaotic System ◽  
Error System ◽  
New Hyperchaotic System

This paper is devoted to introduce a novel fourth-order hyperchaotic system. The hyperchaotic system is constructed by adding a linear feedback control level based on a modified Lorenz-like chaotic circuit with reduced number of amplifiers. The local dynamical entities, such as the basic dynamical behavior, the divergence, the eigenvalue, and the Lyapunov exponents of the new hyperchaotic system, are all investigated analytically and numerically. Then, an active control method is derived to achieve global chaotic synchronization of the novel hyperchaotic system through making the synchronization error system asymptotically stable at the origin based on Lyapunov stability theory. Next, the proposed novel hyperchaotic system is applied to construct another new hyperchaotic system with circuit deformation and design a new hyperchaotic secure communication circuit. Furthermore, the implementation of two novel electronic circuits of the proposed hyperchaotic systems is presented, examined, and realized using physical components. A good qualitative agreement is shown between the simulations and the experimental results around 500 kHz and below 1 MHz.

scholarly journals Dynamics and Entropy Analysis for a New 4-D Hyperchaotic System with Coexisting Hidden Attractors

Entropy ◽  
2019 ◽  
Vol 21 (3) ◽  
pp. 287 ◽  
Author(s):  
Licai Liu ◽  
Chuanhong Du ◽  
Xiefu Zhang ◽  
Jian Li ◽  
Shuaishuai Shi
Keyword(s):  
Communication Technology ◽  
Dynamic Characteristics ◽  
Secure Communication ◽  
Hyperchaotic System ◽  
Spectral Entropy ◽  
Hidden Attractors ◽  
Initial Value ◽  
Calculation Results ◽  
Chaotic Secure Communication ◽  
Physical Realizability

This paper presents a new no-equilibrium 4-D hyperchaotic multistable system with coexisting hidden attractors. One prominent feature is that by varying the system parameter or initial value, the system can generate several nonlinear complex attractors: periodic, quasiperiodic, multiple topology chaotic, and hyperchaotic. The dynamics and complexity of the proposed system were investigated through Lyapunov exponents (LEs), a bifurcation diagram, a Poincaré map, and spectral entropy (SE). The simulation and calculation results show that the proposed multistable system has very rich and complex hidden dynamic characteristics. Additionally, the circuit of the chaotic system is designed to verify the physical realizability of the system. This study provides new insights into uncovering the dynamic characteristics of the coexisting hidden attractors system and provides a new choice for nonlinear control or chaotic secure communication technology.

GENERATING HYPERCHAOTIC ATTRACTORS VIA APPROXIMATE TIME DELAYED STATE FEEDBACK

2008 ◽  
Vol 18 (11) ◽  
pp. 3485-3494 ◽  
Author(s):  
GUOSI HU ◽  
SHIQIN JIANG
Keyword(s):  
Numerical Simulations ◽  
Chaotic System ◽  
State Feedback ◽  
Electronic Circuit ◽  
Hyperchaotic System ◽  
Lorenz Chaotic System ◽  
Simulation Results ◽  
Delayed State Feedback ◽  
New Hyperchaotic System ◽  
Good Agreement

This letter presents a new hyperchaotic system, which was constructed by adding an approximate time delayed state feedback to the second equation of Lorenz chaotic system. The constructed system is not only demonstrated by numerical simulations but also implemented via an electronic circuit, showing very good agreement with the simulation results.

A Robust Secondary Secure Communication Scheme Based on Synchronization of Spatiotemporal Chaotic Systems

2013 ◽  
Vol 68 (8-9) ◽  
pp. 573-580 ◽  
Author(s):  
Xing-Yuan Wang ◽  
Hao Zhang
Keyword(s):  
Communication System ◽  
Secure Communication ◽  
Chaotic Systems ◽  
Digital Signal ◽  
Stable Theory ◽  
Asymptotic Convergence ◽  
Hyperchaotic System ◽  
Communication Scheme ◽  
Chaotic Secure Communication ◽  
Spatiotemporal Chaotic System

This paper deals with the synchronization of spatiotemporal chaotic systems and presents a new robust secondary chaotic secure communication system for digital signal transmissions which can recover digital signal even though the transmitted signal is influenced by limited noise. The transmitter terminal and the receiver terminal both contain a spatiotemporal chaotic system and a hyperchaotic system. The asymptotic convergence of the errors between the states of the transmitter terminal and the receiver terminal has been proved based on the Lyapunov stable theory and active-passive decomposition (APD) method. Moreover, a random digital signal and a binary Lena image are encrypted and decrypted successfully to verify the efficiency of the proposed robust secure communication system.

A CHAOTIC SECURE COMMUNICATION METHOD BASED ON PARAMETER IDENTIFICATION

2010 ◽  
Vol 24 (28) ◽  
pp. 5515-5525 ◽  
Author(s):  
MING-JUN WANG ◽  
XING-YUAN WANG
Keyword(s):  
Parameter Identification ◽  
Numerical Simulations ◽  
Secure Communication ◽  
Unknown Parameter ◽  
Chen System ◽  
Communication Method ◽  
Chaotic Secure Communication

Based on parameter identification, an observer is presented to identify the unknown parameter of hyperchaotic Chen system, then the useful information modulated in the parameter can be recovered successfully. In the improved scheme, an approximate observer is adopted for more security. Numerical simulations show the effectiveness of our method.

scholarly journals Constructing Discrete Chaotic Systems with Positive Lyapunov Exponents

2018 ◽  
Vol 28 (07) ◽  
pp. 1850084 ◽  
Author(s):  
Chuanfu Wang ◽  
Chunlei Fan ◽  
Qun Ding
Keyword(s):  
Lyapunov Exponents ◽  
Chaotic System ◽  
Secure Communication ◽  
Discrete System ◽  
Chaotic Systems ◽  
Hyperchaotic System ◽  
Universal Method ◽  
Periodic Attractors ◽  
Chaotic Secure Communication ◽  
Hyperchaotic Systems

The chaotic system is widely used in chaotic cryptosystem and chaotic secure communication. In this paper, a universal method for designing the discrete chaotic system with any desired number of positive Lyapunov exponents is proposed to meet the needs of hyperchaotic systems in chaotic cryptosystem and chaotic secure communication, and three examples of eight-dimensional discrete system with chaotic attractors, eight-dimensional discrete system with fixed point attractors and eight-dimensional discrete system with periodic attractors are given to illustrate how the proposed methods control the Lyapunov exponents. Compared to the previous methods, the positive Lyapunov exponents are used to reconstruct a hyperchaotic system.

A Hyperchaotic System and its Synchronization via Scalar Controller

2011 ◽  
Vol 50-51 ◽  
pp. 254-257
Author(s):  
Wu Chun Dai ◽  
Zheng Fu Cheng
Keyword(s):  
Theoretical Analysis ◽  
Numerical Simulations ◽  
Lyapunov Exponents ◽  
Mathematical Proof ◽  
Hyperchaotic System ◽  
Scalar Control ◽  
Response System ◽  
Dynamical Behaviors ◽  
Synchronization Scheme ◽  
New Hyperchaotic System

In this paper, a 4D hyperchaotic system is proposed. Some basic dynamical behaviors are explored by calculating its Lyapunov exponents, Poincar´e mapping, etc.. Finally, synchronization for this new hyperchaotic system is achieved via scalar control. The nonlinear terms in the response system are not dropped. The proposed synchronization scheme is simple and theoretically rigorous. The mathematical proof of this method is provided. Some numerical simulations are obtained. The numerical simulations coincide with the theoretical analysis.

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