Analysis and circuit implementation for a novel fractional-order hyperchaotic system based on chen system

2017 ◽  
Author(s):  
Hongyan Jia ◽  
Zhiqiang Guo ◽  
Shanfeng Wang ◽  
Rui Wang
Keyword(s):  
Fractional Order ◽  
Hyperchaotic System ◽  
Circuit Implementation ◽  
Chen System

A Class of Integer Order and Fractional Order Hyperchaotic Systems via the Chen System

2016 ◽  
Vol 26 (06) ◽  
pp. 1650109 ◽  
Author(s):  
Fei Xu
Keyword(s):  
Differential Equation ◽  
Fractional Order ◽  
Chaotic System ◽  
Chaotic Attractor ◽  
Equation System ◽  
Hyperchaotic System ◽  
Differential Equation System ◽  
Chen System ◽  
Integer Order ◽  
Hyperchaotic Systems

In this article, we investigate the generation of a class of hyperchaotic systems via the Chen chaotic system using both integer order and fractional order differential equation systems. Based on the Chen chaotic system, we designed a system with four nonlinear ordinary differential equations. For different parameter sets, the trajectory of the system may diverge or display a hyperchaotic attractor with double wings. By linearizing the ordinary differential equation system with divergent trajectory and designing proper switching controls, we obtain a chaotic attractor. Similar phenomenon has also been observed in linearizing the hyperchaotic system. The corresponding fractional order systems are also considered. Our investigation indicates that, switching control can be applied to either linearized chaotic or nonchaotic differential equation systems to create chaotic attractor.

scholarly journals Circuit implementation and control of a new fractional-order hyperchaotic system

2011 ◽  
Vol 60 (1) ◽  
pp. 010505
Author(s):  
Huang Li-Lian ◽  
Xin Fang ◽  
Wang Lin-Yu
Keyword(s):  
Fractional Order ◽  
Hyperchaotic System ◽  
Circuit Implementation ◽  
And Control

SYNCHRONIZATION OF THE FRACTIONAL-ORDER CHEN SYSTEM AND ITS CIRCUIT IMPLEMENTATION

2016 ◽  
Vol 28 (3) ◽  
pp. 205-220
Author(s):  
A. A. Oumate ◽  
K. Zourmba ◽  
B. Gambo ◽  
A. Mohamadou
Keyword(s):  
Fractional Order ◽  
Circuit Implementation ◽  
Chen System

Low-Voltage Low-Power Integrable CMOS Circuit Implementation of Integer- and Fractional–Order FitzHugh–Nagumo Neuron Model

2019 ◽  
Vol 30 (7) ◽  
pp. 2108-2122 ◽  
Author(s):  
Farooq Ahmad Khanday ◽  
Nasir Ali Kant ◽  
Mohammad Rafiq Dar ◽  
Tun Zainal Azni Zulkifli ◽  
Costas Psychalinos
Keyword(s):  
Low Power ◽  
Fractional Order ◽  
Neuron Model ◽  
Low Voltage ◽  
Cmos Circuit ◽  
Circuit Implementation

scholarly journals Complexity Analysis and DSP Implementation of the Fractional-Order Lorenz Hyperchaotic System

Entropy ◽  
2015 ◽  
Vol 17 (12) ◽  
pp. 8299-8311 ◽  
Author(s):  
Shaobo He ◽  
Kehui Sun ◽  
Huihai Wang
Keyword(s):  
Fractional Order ◽  
Complexity Analysis ◽  
Hyperchaotic System ◽  
Dsp Implementation

scholarly journals Adaptive Projective Synchronization between Two Different Fractional-Order Chaotic Systems with Fully Unknown Parameters

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
Liping Chen ◽  
Shanbi Wei ◽  
Yi Chai ◽  
Ranchao Wu
Keyword(s):  
Fractional Order ◽  
Chaotic Systems ◽  
Projective Synchronization ◽  
Control Law ◽  
Unknown Parameters ◽  
Chen System ◽  
Fractional Order Differential Equations ◽  
Response Systems ◽  
The Stability ◽  
Adaptive Control Law

Projective synchronization between two different fractional-order chaotic systems with fully unknown parameters for drive and response systems is investigated. On the basis of the stability theory of fractional-order differential equations, a suitable and effective adaptive control law and a parameter update rule for unknown parameters are designed, such that projective synchronization between the fractional-order chaotic Chen system and the fractional-order chaotic Lü system with unknown parameters is achieved. Theoretical analysis and numerical simulations are presented to demonstrate the validity and feasibility of the proposed method.

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