scholarly journals Chaos control and Penta-compound combination anti-synchronization on a novel fractional chaotic system with analysis and application

2021 ◽  
Vol 24 ◽  
pp. 104130
Author(s):  
Emad E. Mahmoud ◽  
Pushali Trikha ◽  
Lone Seth Jahanzaib ◽  
Ala' Abdulmajid Eshmawi ◽  
R.T. Matoog
Keyword(s):  
Chaotic System ◽  
Chaos Control ◽  
Fractional Chaotic System

scholarly journals Parameter Estimation of a Class One-Dimensional Discrete Chaotic System

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Lidong Liu ◽  
Jinfeng Hu ◽  
Huiyong Li ◽  
Jun Li ◽  
Zishu He ◽  
...  
Keyword(s):  
Parameter Estimation ◽  
Chaotic System ◽  
Chaos Control ◽  
Mean Value ◽  
Unknown Parameters ◽  
Tent Map ◽  
One Dimensional ◽  
Chebyshev Map ◽  
Mean Value Method ◽  
Control And Synchronization

It is of vital importance to exactly estimate the unknown parameters of chaotic systems in chaos control and synchronization. In this paper, we present a method for estimating one-dimensional discrete chaotic system based on mean value method (MVM). It is proposed by exploiting the ergodic and synchronization features of chaos. It can effectively estimate the parameter value, and it is more exact than MVM. Finally, numerical simulations on Chebyshev map and Tent map show that the proposed method has better performance of parameter estimation than MVM.

scholarly journals Finite-Time Synchronizing Fractional-Order Chaotic Volta System with Nonidentical Orders

2013 ◽  
Vol 2013 ◽  
pp. 1-4 ◽  
Author(s):  
Jian-Bing Hu ◽  
Ling-Dong Zhao
Keyword(s):  
Fractional Calculus ◽  
Numerical Simulations ◽  
Fractional Order ◽  
Chaotic System ◽  
Finite Time ◽  
Chaotic Systems ◽  
Fractional Differentiation ◽  
Fractional Chaotic System

We investigate synchronizing fractional-order Volta chaotic systems with nonidentical orders in finite time. Firstly, the fractional chaotic system with the same structure and different orders is changed to the chaotic systems with identical orders and different structure according to the property of fractional differentiation. Secondly, based on the lemmas of fractional calculus, a controller is designed according to the changed fractional chaotic system to synchronize fractional chaotic with nonidentical order in finite time. Numerical simulations are performed to demonstrate the effectiveness of the method.

Identification of fractional chaotic system parameters

2004 ◽  
Vol 22 (4) ◽  
pp. 897-905 ◽  
Author(s):  
Yousef Al-Assaf ◽  
Reyad El-Khazali ◽  
Wajdi Ahmad
Keyword(s):  
Chaotic System ◽  
System Parameters ◽  
Fractional Chaotic System

Combination of Improved OGY and Guiding Orbit Method for Chaos Control

2019 ◽  
Vol 23 (5) ◽  
pp. 847-855 ◽  
Author(s):  
Lingzhi Yi ◽  
Yue Liu ◽  
Wenxin Yu ◽  
◽  
◽  
...  
Keyword(s):  
Chaotic System ◽  
Chaos Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Search Algorithm ◽  
Cuckoo Search ◽  
Cuckoo Search Algorithm ◽  
Convergence Speed ◽  
Orbit Method ◽  
Modified Method

Chaotic systems have gathered much attention. When the OGY method is applied to control a chaotic system, chaos can be contained and target signals can be traced with satisfactory accuracy. However, the traditional control method have a low convergence speed, which may hamper the performance of the whole system. To solve this problem, the cuckoo search algorithm is used to guide the orbits of chaotic systems. Moreover, the OGY method is improved so that a chaotic system can be stabilized for different target points. Finally, the effectiveness of the proposed method is verified through several typical chaotic systems. The simulation results indicate that the modified method has a faster convergence speed and yields better performance than the traditional OGY control method.

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