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 A Novel Memductor-Based Chaotic System and Its Applications in Circuit Design and Experimental Validation

Complexity ◽  
2019 ◽  
Vol 2019 ◽  
pp. 1-17 ◽  
Author(s):  
Li Xiong ◽  
Yanjun Lu ◽  
Yongfang Zhang ◽  
Xinguo Zhang
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
Experimental Validation ◽  
Control Method ◽  
Dynamical Behavior ◽  
Chaotic Circuit ◽  
Initial State ◽  
Error System ◽  
The Stability ◽  
The Mathematical Model

This paper is expected to introduce a novel memductor-based chaotic system. The local dynamical entities, such as the basic dynamical behavior, the divergence, the stability of equilibrium set, and the Lyapunov exponent, are all investigated analytically and numerically to reveal the dynamic characteristics of the new memductor-based chaotic system as the system parameters and the initial state of memristor change. Subsequently, an active control method is derived to study the synchronous stability of the novel memductor-based chaotic system through making the synchronization error system asymptotically stable at the origin. Further to these, a memductor-based chaotic circuit is designed, realized, and applied to construct a new memductor-based secure communication circuit by employing the basic electronic components and memristor. Furthermore, the design principle of the memductor-based chaotic circuit is thoroughly analyzed and the concept of “the memductor-based chaotic circuit defect quantification index” is proposed for the first time to verify whether the chaotic output is consistent with the mathematical model. A good qualitative agreement is shown between the simulations and the experimental validation results.

A new hyperchaotic system from T chaotic system: dynamical analysis, circuit implementation, control and synchronization

Circuit World ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Selcuk Emiroglu ◽  
Akif Akgül ◽  
Yusuf Adıyaman ◽  
Talha Enes Gümüş ◽  
Yılmaz Uyaroglu ◽  
...  
Keyword(s):  
Chaotic System ◽  
Passive Control ◽  
Control Method ◽  
Initial Conditions ◽  
Three Dimensional ◽  
Dynamical Analysis ◽  
Hyperchaotic System ◽  
Content Type ◽  
Control And Synchronization ◽  
New Hyperchaotic System

Purpose The purpose of this paper is to develop new four-dimensional (4D) hyperchaotic system by adding another state variable and linear controller to three-dimensional T chaotic dynamical systems. Its dynamical analyses, circuit experiment, control and synchronization applications are presented. Design/methodology/approach A new 4D hyperchaotic attractor is achieved through a simulation, circuit experiment and mathematical analysis by obtaining the Lyapunov exponent spectrum, equilibrium, bifurcation, Poincaré maps and power spectrum. Moreover, hardware experimental measurements are performed and obtained results well validate the numerical simulations. Also, the passive control method is presented to make the new 4D hyperchaotic system stable at the zero equilibrium and synchronize the two identical new 4D hyperchaotic system with different initial conditions. Findings The passive controllers can stabilize the new 4D chaotic system around equilibrium point and provide the synchronization of new 4D chaotic systems with different initial conditions. The findings from Matlab simulations, circuit design simulations in computer and physical circuit experiment are consistent with each other in terms of comparison. Originality/value The 4D hyperchaotic system is presented, and dynamical analysis and numerical simulation of the new hyperchaotic system were firstly carried out. The circuit of new 4D hyperchaotic system is realized, and control and synchronization applications are performed.

A New 4D Four-Wing Memristive Hyperchaotic System: Dynamical Analysis, Electronic Circuit Design, Shape Synchronization and Secure Communication

2020 ◽  
Vol 30 (10) ◽  
pp. 2050147 ◽  
Author(s):  
Fei Yu ◽  
Shuai Qian ◽  
Xi Chen ◽  
Yuanyuan Huang ◽  
Li Liu ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Secure Communication ◽  
Electronic Circuit ◽  
Mathematical Structure ◽  
Dynamical Analysis ◽  
Hyperchaotic System ◽  
Chen System ◽  
Information Signal ◽  
Communication Scheme ◽  
Good Agreement

In this paper, a simple four-wing chaotic attractor is first proposed by replacing the constant parameters of the Chen system with a periodic piecewise function. Then, a new 4D four-wing memristive hyperchaotic system is presented by adding a flux-controlled memristor with linear memductance into the proposed four-wing Chen system. The memristor mathematical structure model is simple and easy to implement. Dynamical analysis and numerical simulation of the memristive hyperchaotic system are carried out. Then, the electronic circuit of the hyperchaotic system is designed and implemented. The results of numerical simulation are in good agreement with the electronic circuit experiment. In addition, shape synchronization control for the 4D four-wing memristive hyperchaotic system is realized, and a communication system is designed by using the shape synchronization method. Finally, secure signal masking application is implemented on Matlab platform. In the developed secure communication scheme, the information signal overlaps with the chaotic masking signal, which improves the security of the system.

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.

scholarly journals On an Optimal Control Applied in MEMS Oscillator with Chaotic Behavior including Fractional Order

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-12 ◽  
Author(s):  
Angelo Marcelo Tusset ◽  
Frederic Conrad Janzen ◽  
Rodrigo Tumolin Rocha ◽  
Jose Manoel Balthazar
Keyword(s):  
Fractional Order ◽  
Chaotic Behavior ◽  
Dynamical Behavior ◽  
Dynamical Analysis ◽  
Linear Feedback ◽  
Nonlinear Stiffness ◽  
Mems Resonator ◽  
Optimal Linear ◽  
Mems Oscillator ◽  
Resonator System

The dynamical analysis and control of a nonlinear MEMS resonator system is considered. Phase diagram, power spectral density (FFT), bifurcation diagram, and the 0-1 test were applied to analyze the influence of the nonlinear stiffness term related to the dynamics of the system. In addition, the dynamical behavior of the system is considered in fractional order. Numerical results showed that the nonlinear stiffness parameter and the order of the fractional order were significant, indicating that the response can be either a chaotic or periodic behavior. In order to bring the system from a chaotic state to a periodic orbit, the optimal linear feedback control (OLFC) is considered. The robustness of the proposed control is tested by a sensitivity analysis to parametric uncertainties.

Dynamical analysis, FPGA implementation and synchronization for secure communication of new chaotic system with hidden and coexisting attractors

2021 ◽  
Author(s):  
Qiang Lai ◽  
Ziling Wang ◽  
Paul Didier Kamdem Kuate
Keyword(s):  
Chaotic System ◽  
Secure Communication ◽  
Analog Circuit ◽  
Control Method ◽  
Simulation Analysis ◽  
Period Doubling ◽  
Fpga Implementation ◽  
Dynamical Analysis ◽  
Hidden Attractors ◽  
Coexisting Attractors

This paper proposes an interesting autonomous chaotic system with hidden attractors and coexisting attractors. The system has no equilibrium, one equilibrium, three equilibria and line equilibria for different parameter regions. The existence of hidden attractors and coexisting attractors of the system has been revealed by using simulation analysis. The bifurcation diagram shows the period-doubling bifurcation route to chaos with the variation of parameters. The analog circuit and FPGA implementation of the system are presented. The synchronization for secure communication of the system is investigated. The synchronization conditions are established by using the adaptive control method.

Applicable Image Security Based on New Hyperchaotic System

Symmetry ◽  
2021 ◽  
Vol 13 (12) ◽  
pp. 2290
Author(s):  
Jingya Wang ◽  
Xianhua Song ◽  
Huiqiang Wang ◽  
Ahmed A. Abd El-Latif
Keyword(s):  
Image Encryption ◽  
Complexity Analysis ◽  
Dynamical Behavior ◽  
Logistic Map ◽  
Hyperchaotic System ◽  
Two Dimensional ◽  
Analysis Methods ◽  
Lyapunov Index ◽  
And Diffusion ◽  
New Hyperchaotic System

Hyperchaotic systems are widely applied in the cryptography domain on account of their more complex dynamical behavior. In view of this, the greatest contribution of this paper is that a two-dimensional Sine coupling Logistic modulated Sine (2D-SCLMS) system is proposed based on Logistic map and Sine map. By a series of analyses, including Lyapunov index (LE), 0–1 test, two complexity analysis methods, and two entropy analysis methods, it is concluded that the new 2D-SCLMS map is hyperchaotic with a wider range of chaos and more complex randomness. The new system combined with two-dimensional Logistic-Sine Coupling Mapping (2D-LSCM) is further applied to an image encryption application. SHA-384 is used to generate the initial values and parameters of the two chaotic systems. Symmetric keys are generated during this operation, which can be applied to the proposed image encryption and decryption algorithms. The encryption process and the decryption process of the new image encryption approaches mainly include pixel scrambling, exclusive NOR (Xnor), and diffusion operations. Multiple experiments illustrate that this scheme has higher security and lower time complexity.

A HYPERCHAOTIC CHUA SYSTEM

2009 ◽  
Vol 19 (11) ◽  
pp. 3823-3828 ◽  
Author(s):  
PAULO C. RECH ◽  
HOLOKX A. ALBUQUERQUE
Keyword(s):  
Linear Function ◽  
Piecewise Linear ◽  
Dynamical Behavior ◽  
Piecewise Linear Function ◽  
Hyperchaotic System ◽  
Cubic Polynomial ◽  
New Hyperchaotic System

In this paper, we report a new four-dimensional autonomous hyperchaotic system, constructed from a Chua system where the piecewise-linear function usually taken to describe the nonlinearity of the Chua diode has been replaced by a cubic polynomial. Analytical and numerical procedures are conducted to study the dynamical behavior of the proposed new hyperchaotic system.

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