Dynamical analysis in a 4D hyperchaotic system

2012 ◽  
Vol 70 (2) ◽  
pp. 1327-1334 ◽  
Author(s):  
Hongwei Li
Keyword(s):  
Dynamical Analysis ◽  
Hyperchaotic System

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 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 Dynamical analysis, circuit implementation and deep belief network control of new six-dimensional hyperchaotic system

2018 ◽  
Vol 12 (4) ◽  
pp. 361-375 ◽  
Author(s):  
Lingzhi Yi ◽  
Weihong Xiao ◽  
Wenxin Yu ◽  
Binren Wang
Keyword(s):  
Control Method ◽  
Reference Signal ◽  
Deep Belief Network ◽  
Network Control ◽  
Dynamical Analysis ◽  
Phase Portraits ◽  
Hyperchaotic System ◽  
Belief Network ◽  
Simulation Results ◽  
Systems Simulation

In this paper, a new six-dimensional hyperchaotic system is proposed and some basic dynamical properties including bifurcation diagrams, Lyapunov exponents and phase portraits are investigated. Furthermore, the electronic circuit of this novel hyperchaotic system is simulated on the Multisim platform, and the simulation results are agreed well with the numerical simulation of the same hyperchaotic system on the Matlab platform. Finally, a control method based on Deep Belief Network is proposed to track and control the proposed hyperchaotic system. In this method, the function of the hyperchaotic system is studied by Deep Belief Network and a high precision fitting function is obtained. Then a controller which is composed of the fitting function and the tracking reference signal is designed to achieve the tracking control of hyperchaotic systems. Simulation results verify the effectiveness and feasibility of this method.

scholarly journals Dynamic Analysis and Circuit Implementation of a New 4D Lorenz-Type Hyperchaotic System

2019 ◽  
Vol 2019 ◽  
pp. 1-17 ◽  
Author(s):  
A. Al-khedhairi ◽  
A. Elsonbaty ◽  
A. H. Abdel Kader ◽  
A. A. Elsadany
Keyword(s):  
Initial Conditions ◽  
Equilibrium Points ◽  
Dynamical Analysis ◽  
Global Dynamics ◽  
Hyperchaotic System ◽  
Circuit Implementation ◽  
Local And Global Dynamics ◽  
Invariant Surfaces ◽  
The Rich ◽  
Global Invariant

This paper attempts to further extend the results of dynamical analysis carried out on a recent 4D Lorenz-type hyperchaotic system while exploring new analytical results concerns its local and global dynamics. In particular, the equilibrium points of the system along with solution’s continuous dependence on initial conditions are examined. Then, a detailed Z2 symmetrical Bogdanov-Takens bifurcation analysis of the hyperchaotic system is performed. Also, the possible first integrals and global invariant surfaces which exist in system’s phase space are analytically found. Theoretical results reveal the rich dynamics and the complexity of system behavior. Finally, numerical simulations and a proposed circuit implementation of the hyperchaotic system are provided to validate the present analytical study of the system.

scholarly journals Chaos Suppression Using Genetically Optimized PID Control of the 4-D Novel Hyperchaotic Vaidyanathan System

2018 ◽  
Vol 8 (6) ◽  
pp. 3619-3623
Author(s):  
G. Laarem ◽  
A. Merbouha
Keyword(s):  
Genetic Algorithms ◽  
Impact Factor ◽  
Dynamical Analysis ◽  
Pid Controllers ◽  
Hyperchaotic System ◽  
The Novel ◽  
Proportional Integral ◽  
Fast Speed ◽  
Chaos Suppression ◽  
The Impact

In this paper, a dynamical analysis of the novel hyperchaotic system with four parameters is presented. Genetically optimized proportional integral and derivative (PID) controllers were designed and applied for the chaos suppression of the 4-D novel hyperchaotic system, by varying the genetic algorithms (GA) options to view the impact factor on the optimized PID controllers. The use of the final optimized PID controllers ensures less time of convergence and fast speed chaos suppression. In this paper, a dynamical analysis of the novel hyperchaotic system with four parameters is presented. Genetically optimized proportional integral and derivative (PID) controllers were designed and applied for the chaos suppression of the 4-D novel hyperchaotic system, by varying the genetic algorithms (GA) options to view the impact factor on the optimized PID controllers. The use of the final optimized PID controllers ensures less time of convergence and fast speed chaos suppression.

scholarly journals A Hyperchaotic System with Three Quadratic Nonlinearities, its Dynamical Analysis and Circuit Realization

2019 ◽  
Vol 1179 ◽  
pp. 012085
Author(s):  
C-H Lien ◽  
S Vaidyanathan ◽  
S Zhang ◽  
A Sambas ◽  
Mujiarto ◽  
...  
Keyword(s):  
Dynamical Analysis ◽  
Hyperchaotic System ◽  
Circuit Realization ◽  
Quadratic Nonlinearities
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