Dynamic Analysis and Circuit Realization of a Novel Variable-Wing 5D Memristive Hyperchaotic System with Line Equilibrium

2021 ◽  
Author(s):  
Qiuzhen Wan ◽  
Fei Li ◽  
Zidie Yan ◽  
Simiao Chen ◽  
Jiong Liu ◽  
...  
Keyword(s):  
Dynamic Analysis ◽  
Hyperchaotic System ◽  
Circuit Realization ◽  
Line Equilibrium

Dynamic Analysis and FPGA Implementation of a Kolmogorov-Like Hyperchaotic System

2021 ◽  
Vol 31 (04) ◽  
pp. 2150052
Author(s):  
Xiaodong Jiao ◽  
Enzeng Dong ◽  
Zenghui Wang
Keyword(s):  
Vector Field ◽  
Numerical Analysis ◽  
Dynamic Analysis ◽  
Dynamic Systems ◽  
Spherical Function ◽  
Chaotic Systems ◽  
Complex Dynamics ◽  
Hyperchaotic System ◽  
Nist Tests ◽  
Dissipative Dynamic

Chaotic systems have high potential for engineering applications due to their extremely complex dynamics. In the paper, a five-dimensional (5D) Kolmogorov-like hyperchaotic system is proposed. First, the hyperchaotic property is uncovered, and numerical analysis shows that the system displays the coexistence of different kinds of attractors. This system presents a generalized form of fluid and forced-dissipative dynamic systems. The vector field of the hyperchaotic system is decomposed to inertial, internal, dissipative and external torques, respectively, and the energies are analyzed in detail. Then, the bound of the 5D dissipative hyperchaos is estimated with a constructed spherical function. Finally, the system passes the NIST tests and an FPGA platform is used to realize the hyperchaotic system.

Hidden Hyperchaotic Attractors in a New 5D System Based on Chaotic System with Two Stable Node-Foci

2019 ◽  
Vol 29 (07) ◽  
pp. 1950092 ◽  
Author(s):  
Qigui Yang ◽  
Lingbing Yang ◽  
Bin Ou
Keyword(s):  
Chaotic System ◽  
Stable Equilibrium ◽  
Complex Dynamics ◽  
Dynamical Evolution ◽  
Stable Node ◽  
Hyperchaotic System ◽  
Hidden Attractors ◽  
Circuit Realization ◽  
Switching Algorithm ◽  
Linear Controllers

This paper reports some hidden hyperchaotic attractors and complex dynamics in a new five-dimensional (5D) system with only two nonlinear terms. The system is generated by adding two linear controllers to an unusual 3D autonomous quadratic chaotic system with two stable node-foci. In particular, the hyperchaotic system without equilibrium or with only one stable equilibrium can generate two kinds of hidden hyperchaotic attractors with three positive Lyapunov exponents. Numerical methods not only verify the existence of such attractors and hyperchaotic attractors, but also show the dynamical evolution of this system. The 5D system has self-excited attractors and two types of hidden attractors with the change of its parameter. The parameter switching algorithm is further utilized to numerically approximate the attractor. Specifically, the hidden hyperchaotic attractor can be approximated by switching between two self-excited chaotic attractors. Finally, the circuit realization results are consistent with the numerical results.

scholarly journals Dynamic Analysis and Circuit Design of a Novel Hyperchaotic System with Fractional-Order Terms

Complexity ◽  
2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Abir Lassoued ◽  
Olfa Boubaker
Keyword(s):  
Dynamic Analysis ◽  
Circuit Design ◽  
Fractional Order ◽  
Potential Application ◽  
Complex Dynamics ◽  
Equilibrium Points ◽  
Hyperchaotic System ◽  
Software Simulation ◽  
Simulation Results ◽  
Hyperchaotic Systems

A novel hyperchaotic system with fractional-order (FO) terms is designed. Its highly complex dynamics are investigated in terms of equilibrium points, Lyapunov spectrum, and attractor forms. It will be shown that the proposed system exhibits larger Lyapunov exponents than related hyperchaotic systems. Finally, to enhance its potential application, a related circuit is designed by using the MultiSIM Software. Simulation results verify the effectiveness of the suggested circuit.

Dynamic Analysis of Four Dimensional Hyperchaotic System and Its circuit Implementation

2019 ◽  
Author(s):  
Yonglu He ◽  
Caihong Chen ◽  
Weiying Gao ◽  
Kezhu Tao ◽  
Xuexi Yuan ◽  
...  
Keyword(s):  
Dynamic Analysis ◽  
Hyperchaotic System ◽  
Circuit Implementation

Bistability in a hyperchaotic system with a line equilibrium

2014 ◽  
Vol 118 (3) ◽  
pp. 494-500 ◽  
Author(s):  
Chunbiao Li ◽  
J. C. Sprott ◽  
Wesley Thio
Keyword(s):  
Hyperchaotic System ◽  
Line Equilibrium

scholarly journals Hyperchaotic Circuit Based on Memristor Feedback with Multistability and Symmetries

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-10 ◽  
Author(s):  
Xiaoyuan Wang ◽  
Xiaotao Min ◽  
Pengfei Zhou ◽  
Dongsheng Yu
Keyword(s):  
Theoretical Analysis ◽  
Dynamic Analysis ◽  
Chaotic System ◽  
Equilibrium Points ◽  
Experimental Results ◽  
System Dynamic ◽  
Hyperchaotic System ◽  
Analogue Circuits

A novel hyperchaotic circuit is proposed by introducing a memristor feedback in a simple Lorenz-like chaotic system. Dynamic analysis shows that it has infinite equilibrium points and multistability. Additionally, the symmetrical coexistent attractors are investigated. Further, the hyperchaotic system is implemented by analogue circuits. Corresponding experimental results are completely consistent with the theoretical analysis.

Sign in / Sign up

Export Citation Format

Share Document