On multistability near the boundary of generalized synchronization in unidirectionally coupled chaotic systems

2021 ◽  
Vol 31 (8) ◽  
pp. 083106
Author(s):  
Olga I. Moskalenko ◽  
Alexey A. Koronovskii ◽  
Anton O. Selskii ◽  
Evgeniy V. Evstifeev
Keyword(s):  
Chaotic Systems ◽  
Generalized Synchronization

scholarly journals Generalized Synchronization of Nonlinear Chaotic Systems through Natural Bioinspired Controlling Strategy

2015 ◽  
Vol 2015 ◽  
pp. 1-14 ◽  
Author(s):  
Shih-Yu Li ◽  
Shi-An Chen ◽  
Chin-Teng Lin ◽  
Li-Wei Ko ◽  
Cheng-Hsiung Yang ◽  
...  
Keyword(s):  
Control Strategy ◽  
Stability Theory ◽  
High Performance ◽  
Chaotic Systems ◽  
Control Function ◽  
Homogeneous Function ◽  
Functional System ◽  
Generalized Synchronization ◽  
High Efficient ◽  
Lyapunov Control

A novel bioinspired control strategy design is proposed for generalized synchronization of nonlinear chaotic systems, combining the bioinspired stability theory, fuzzy modeling, and a novel, simple-form Lyapunov control function design of derived high efficient, heuristic and bioinspired controllers. Three main contributions are concluded: (1) apply the bioinspired stability theory to further analyze the stability of fuzzy error systems; the high performance of controllers has been shown in previous study by Li and Ge 2009, (2) a new Lyapunov control function based on bioinspired stability theory is designed to achieve synchronization without using traditional LMI method, which is a simple linear homogeneous function of states and the process of designing controller to synchronize two fuzzy chaotic systems becomes much simpler, and (3) three different situations of synchronization are proposed; classical master and slave Lorenz systems, slave Chen’s system, and Rossler’s system as functional system are illustrated to further show the effectiveness and feasibility of our novel strategy. The simulation results show that our novel control strategy can be applied to different and complicated control situations with high effectiveness.

Generalized synchronization and noise-induced synchronization: The same type of behavior of coupled chaotic systems

2006 ◽  
Vol 51 (4) ◽  
pp. 189-192 ◽  
Author(s):  
A. A. Koronovskiĭ ◽  
O. I. Moskalenko ◽  
D. I. Trubetskov ◽  
A. E. Khramov
Keyword(s):  
Chaotic Systems ◽  
Generalized Synchronization ◽  
Type Of Behavior

ANTI-SYNCHRONIZATION OF A CLASS OF COUPLED CHAOTIC SYSTEMS VIA LINEAR FEEDBACK CONTROL

2006 ◽  
Vol 16 (04) ◽  
pp. 1041-1047 ◽  
Author(s):  
CHUANDONG LI ◽  
XIAOFENG LIAO
Keyword(s):  
Lyapunov Stability ◽  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Stability Theorem ◽  
Linear Feedback ◽  
Generalized Synchronization ◽  
Lyapunov Stability Theorem ◽  
Linear Feedback Control ◽  
Relevant Variables ◽  
Special Case

As a special case of generalized synchronization, chaos anti-synchronization can be characterized by the vanishing of the sum of relevant variables. In this paper, based on Lyapunov stability theorem for ordinary differential equations, several sufficient conditions for guaranteeing the existence of anti-synchronization in a class of coupled identical chaotic systems via linear feedback or adaptive linear feedback methods are derived. Chua's circuit is presented as an example to demonstrate the effectiveness of the proposed approach by computer simulations.

CHANNEL-INDEPENDENT CHAOTIC SECURE COMMUNICATION

1996 ◽  
Vol 06 (12b) ◽  
pp. 2653-2660 ◽  
Author(s):  
TAO YANG ◽  
LEON O. CHUA
Keyword(s):  
Secure Communication ◽  
Chaotic Systems ◽  
Generalized Synchronization ◽  
Chaotic Secure Communication ◽  
Theoretical Results

The generalized synchronization (GS) of two identical chaotic systems through an unknown channel is studied. First, some theoretical results of GS through an unknown channel are derived. Finally, an application of GS to channel-independent chaotic secure communication is presented.

Generalized synchronization of arbitrary-dimensional chaotic systems

Optik ◽  
2015 ◽  
Vol 126 (4) ◽  
pp. 454-459 ◽  
Author(s):  
Xing He ◽  
Chuandong Li ◽  
Junjian Huang ◽  
Li Xiao
Keyword(s):  
Chaotic Systems ◽  
Generalized Synchronization
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