Analysis and Circuit Design of a Novel 5D Hyperchaotic System

2019 ◽  
Vol 08 (02) ◽  
pp. 118-128
Author(s):  
强 魏
Keyword(s):  
Circuit Design ◽  
Hyperchaotic System

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.

A Novel Hyperchaotic System and its Circuit Implementation

2011 ◽  
Vol 467-469 ◽  
pp. 321-324
Author(s):  
Ping Zhou ◽  
Rui Ding
Keyword(s):  
Phase Diagram ◽  
Lyapunov Exponents ◽  
Circuit Design ◽  
Nonlinear Term ◽  
Fractal Dimensions ◽  
Hyperchaotic System ◽  
Circuit Implementation ◽  
Oscillator Circuit ◽  
Electronic Oscillator

A hyperchaotic system with only one nonlinear term is presented. The Lyapunov exponents, Lyapunov fractal dimensions, and phase diagram of this hyperchaotic system are obtained. Furthermore, one electronic oscillator circuit design of this hyperchaotic system is described using the Electronics Work Bench (EWB).

Novel Hyperchaotic System and Its Circuit Implementation

2015 ◽  
Vol 10 (6) ◽  
Author(s):  
Chaowen Feng ◽  
Li Cai ◽  
Qiang Kang ◽  
Sen Wang ◽  
Hongmei Zhang
Keyword(s):  
Circuit Design ◽  
Piecewise Linear ◽  
Linear Functions ◽  
Theoretical Research ◽  
Secure Communications ◽  
Hyperchaotic System ◽  
State Equations ◽  
Random Nature ◽  
Theoretical Analyses ◽  
New Hyperchaotic System

It is very important to generate hyperchaos with more complicated dynamics as a model for theoretical research and practical application. A new hyperchaotic system with double piecewise-linear functions in state equations is presented and physically implemented by circuit design. Based on the theoretical analyses and simulations, the hyperchaotic dynamical properties of this nonlinear system are revealed by equilibria, Lyapunov exponents, and bifurcations, verifying its unusual random nature and indicating its great potential for some relevant engineering applications such as secure communications.

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