scholarly journals Dynamics, Circuit Design and Fractional-Order Form of a Modified Rucklidge Chaotic System

2018 ◽  
Vol 1090 ◽  
pp. 012038
Author(s):  
A Sambas ◽  
S Vaidyanathan ◽  
M Mamat ◽  
M Sanjaya WS ◽  
S H Yuningsih ◽  
...  
Keyword(s):  
Circuit Design ◽  
Fractional Order ◽  
Chaotic System ◽  
Order Form

Dynamics, Circuit Design, Synchronization, and Fractional-Order Form of a No-Equilibrium Chaotic System

2018 ◽  
pp. 1-31 ◽  
Author(s):  
Viet-Thanh Pham ◽  
Sundarapandian Vaidyanathan ◽  
Christos Volos ◽  
Xiong Wang ◽  
Vo Hoang Duy ◽  
...  
Keyword(s):  
Circuit Design ◽  
Fractional Order ◽  
Chaotic System ◽  
Order Form

A chaotic system with equilibria located on a line and its fractional-order form

2022 ◽  
pp. 35-62
Author(s):  
Karthikeyan Rajagopal ◽  
Fahimeh Nazarimehr ◽  
Alireza Bahramian ◽  
Sajad Jafari
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Order Form

Multiscroll chaotic system with sigmoid nonlinearity and its fractional order form with synchronization application

2019 ◽  
Vol 116 ◽  
pp. 262-272 ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Ali Durdu ◽  
Sajad Jafari ◽  
Yilmaz Uyaroglu ◽  
Anitha Karthikeyan ◽  
...  
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Order Form

Dynamics, Synchronization and Fractional Order Form of a Chaotic System With Infinite Equilibria

2018 ◽  
pp. 475-502 ◽  
Author(s):  
Viet–Thanh Pham ◽  
Gokul P.M. ◽  
Tomasz Kapitaniak ◽  
Christos Volos ◽  
Ahmad Taher Azar
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Order Form

Different-lags Synchronization in Time-delay and Circuit Simulation of Fractional-order Chaotic System Based on Parameter Identification

2015 ◽  
Vol 9 (1) ◽  
pp. 117-126 ◽  
Author(s):  
Zhang Xiaohong ◽  
Cheng Peng
Keyword(s):  
Circuit Design ◽  
Fractional Order ◽  
Chaotic System ◽  
Chaotic Systems ◽  
Circuit Simulation ◽  
Positive Definite Matrix ◽  
System Method ◽  
Adaptive Laws ◽  
Delayed System ◽  
Hardware Circuit

This study constructs a novel four-dimensional fractional-order chaotic system. It verifies chaotic nonlinear dynamic behaviors and physical reliability by numerical simulation and hardware circuit design. For a class of parameter uncertainty fractional different-lags ( τi ) chaotic systems, the authors design a time-delayed (δ) synchronization controllers and parameter adaptive laws. It proves that the drive system and the response system tend to be synchronized and identified parameter when the control parameter matrix K satisfies the condition that K – nE is a positive definite matrix. Simulation results show physical reliability of the fractional-order different-lags chaotic system and verify effectiveness of different-lags synchronization in time-delayed system method design.

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