Adaptive Projective Synchronization of the New Three-Dimensional Chaotic System

2013 ◽  
Vol 321-324 ◽  
pp. 921-924 ◽  
Author(s):  
Su Hai Huang
Keyword(s):  
Chaotic System ◽  
Finite Time ◽  
Chaos Synchronization ◽  
Three Dimensional ◽  
Projective Synchronization ◽  
Time Stability ◽  
Finite Time Stability ◽  
Adaptive Technique ◽  
New Chaotic System ◽  
Synchronization Scheme

This paper deals with the finite-time chaos synchronization of the new chaotic system [with uncertain parameters. Based on the finite-time stability theory and adaptive technique, a controller has been designed to realize finite-time chaos projective synchronization and parameter identification. Moreover, numerical simulation result is included to demonstrate the effectiveness and feasibility of the proposed synchronization scheme.

Finite-Time Chaos Synchronization of Lorenz Chaotic System Based on the Passive Control Teachnique

2013 ◽  
Vol 385-386 ◽  
pp. 945-950 ◽  
Author(s):  
Yi Feng Wei
Keyword(s):  
Chaotic System ◽  
Finite Time ◽  
Chaos Synchronization ◽  
Passive Control ◽  
Control Method ◽  
Control Technique ◽  
Time Stability ◽  
Finite Time Stability ◽  
Lorenz Chaotic System ◽  
Robust To Noise

Finite-time chaos synchronization of Lorenz chaotic system applying the passive control method is investigated in this paper. Based on the finite-time stability theory and the passive control technique, the passive controller are proposed to realize finite-time chaos synchronization of Lorenz chaotic system. The controller is simple and robust to noise. Both theoretical and numerical simulations show the effectiveness of the proposed method.

Hidden Chaotic Attractors and Synchronization for a New Fractional-Order Chaotic System

2019 ◽  
Vol 14 (8) ◽  
Author(s):  
Zuoxun Wang ◽  
Jiaxun Liu ◽  
Fangfang Zhang ◽  
Sen Leng
Keyword(s):  
Fractional Order ◽  
Chaotic System ◽  
Finite Time ◽  
Chaotic Systems ◽  
Time Synchronization ◽  
Chaotic Attractors ◽  
Finite Time Stability ◽  
Integer Order ◽  
Different Types ◽  
Synchronization Scheme

Although a large number of hidden chaotic attractors have been studied in recent years, most studies only refer to integer-order chaotic systems and neglect the relationships among chaotic attractors. In this paper, we first extend LE1 of sprott from integer-order chaotic systems to fractional-order chaotic systems, and we add two constant controllers which could produce a novel fractional-order chaotic system with hidden chaotic attractors. Second, we discuss its complicated dynamic characteristics with the help of projection pictures and bifurcation diagrams. The new fractional-order chaotic system can exhibit self-excited attractor and three different types of hidden attractors. Moreover, based on fractional-order finite time stability theory, we design finite time synchronization scheme of this new system. And combination synchronization of three fractional-order chaotic systems with hidden chaotic attractors is also derived. Finally, numerical simulations demonstrate the effectiveness of the proposed synchronization methods.

FINITE-TIME CHAOS SYNCHRONIZATION OF A NEW HYPERCHAOTIC LORENZ SYSTEM

2013 ◽  
Vol 27 (09) ◽  
pp. 1350033 ◽  
Author(s):  
XINGYUAN WANG ◽  
XULONG GAO ◽  
LULU WANG
Keyword(s):  
Theoretical Analysis ◽  
Finite Time ◽  
Stability Theory ◽  
Chaos Synchronization ◽  
Lorenz System ◽  
Time Stability ◽  
Robust Controller ◽  
Finite Time Stability ◽  
Error System ◽  
Hyperchaotic Lorenz System

This paper deals with the finite-time chaos synchronization of a new hyperchaotic Lorenz system. Based on the finite-time stability theory, a simple and robust controller is proposed to realize finite-time chaos synchronization for the hyperchaotic Lorenz system. Theoretical analysis proved that the scheme can ensure the error system globally finite-time stable. Numerical simulations are provided to show the effectiveness of the proposed schemes.

Finite-Time Chaos Control of Lorenz Chaotic System Based on the Passive Control Teachnique

2013 ◽  
Vol 397-400 ◽  
pp. 1345-1350
Author(s):  
Feng Liu
Keyword(s):  
Chaotic System ◽  
Finite Time ◽  
Chaos Control ◽  
Passive Control ◽  
Control Method ◽  
Control Technique ◽  
Time Stability ◽  
Finite Time Stability ◽  
Lorenz Chaotic System ◽  
Robust To Noise

Finite-time chaos control of Lorenz chaotic system applying the passive control method is investigated in this paper. Based on the finite-time stability theory and the passive control technique, the passive controller are proposed to realize finite-time chaos control of Lorenz chaotic system. The controller is robust to noise. Both theoretical and numerical simulations show the effectiveness of the proposed method.

Finite-Time Chaos Control and Synchronization of the New Chaotic System with Unknown Parameters

2012 ◽  
Vol 187 ◽  
pp. 115-121
Author(s):  
Ke E Li ◽  
Yu Hua Xu
Keyword(s):  
Chaotic System ◽  
Finite Time ◽  
Chaos Control ◽  
Time Synchronization ◽  
Control Law ◽  
Unknown Parameters ◽  
Finite Time Stability ◽  
Parameter Update Law ◽  
New Chaotic System ◽  
Control And Synchronization

In this paper, a new chaotic system is discussed. Some basic dynamical properties are studied , and we also deal with the finite-time chaos control and synchronization of the new chaotic system. Based on the finite-time stability theory, the control law are proposed to drive chaos to equilibria within finite time, and the control law and the parameter update law are proposed to realize finite-time synchronization of the new chaotic system under unknown parameters. The controller is simple and robust to noise. Numerical simulations are given to show the effectiveness of the proposed controllers.

scholarly journals Dynamic Analysis and Robust Control of a Chaotic System with Hidden Attractor

Complexity ◽  
2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Huaigu Tian ◽  
Zhen Wang ◽  
Peijun Zhang ◽  
Mingshu Chen ◽  
Yang Wang
Keyword(s):  
Numerical Simulation ◽  
Robust Control ◽  
Theoretical Analysis ◽  
Chaotic System ◽  
Finite Time ◽  
Original System ◽  
Slave System ◽  
Hidden Attractor ◽  
Time Stability ◽  
Finite Time Stability

In this paper, a 3D jerk chaotic system with hidden attractor was explored, and the dissipativity, equilibrium, and stability of this system were investigated. The attractor types, Lyapunov exponents, and Poincare section of the system under different parameters were analyzed. Additionally, a circuit was carried out, and a good similarity between the circuit experimental results and the theoretical analysis testifies the feasibility and practicality of the original system. Furthermore, a robust feedback controller was designed based on the finite-time stability theory, which guarantees the synchronization of 3D jerk master-slave system in finite time and asymptotically converges to the origin. Finally, we also give verification for the discussion in this paper by numerical simulation.

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