Hybrid projective synchronization in identical hyperchaotic systems using active control

2020 ◽  
Author(s):  
Ayub Khan ◽  
Harindri Chaudhary
Keyword(s):  
Active Control ◽  
Projective Synchronization ◽  
Hybrid Projective Synchronization ◽  
Hyperchaotic Systems

Hybrid Projective Synchronization of Different Fractional Order Hyperchaotic Systems

2014 ◽  
Vol 926-930 ◽  
pp. 3046-3049
Author(s):  
Jin Ping Jia ◽  
Fan Di Zhang
Keyword(s):  
Numerical Simulation ◽  
Active Control ◽  
Fractional Order ◽  
Stability Theory ◽  
Projective Synchronization ◽  
Order System ◽  
Simulation Results ◽  
Hybrid Projective Synchronization ◽  
The Stability ◽  
Hyperchaotic Systems

This paper investigated hybrid projective synchronization of fractional order hyperchaotic systems with different orders. Based on the idea of active control and the stability theory of linear fractional-order system, we design the effective controller to realize the hybrid projective synchronization. Numerical simulation results which are carried show that the method is easy to implement and reliable for synchronizing the two nonlinear fractional order hyperchaotic systems while it also allows both the systems to remain in hyperchaotic states.

Full state hybrid projective synchronization in hyperchaotic systems

2009 ◽  
Vol 42 (3) ◽  
pp. 1502-1510 ◽  
Author(s):  
Yan-Dong Chu ◽  
Ying-Xiang Chang ◽  
Jian-Gang Zhang ◽  
Xian-Feng Li ◽  
Xin-Lei An
Keyword(s):  
Projective Synchronization ◽  
Full State ◽  
Hybrid Projective Synchronization ◽  
Hyperchaotic Systems

scholarly journals Hybrid Projective Synchronization of 4-D Hyperchaotic Systems via Adaptive Control

2020 ◽  
Vol 12 (2) ◽  
pp. 201-208
Author(s):  
A. Khan ◽  
H. Chaudhary
Keyword(s):  
Adaptive Control ◽  
Asymptotic Stability ◽  
Secure Communication ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Control Technique ◽  
Complete Agreement ◽  
Suggested Technique ◽  
Hybrid Projective Synchronization ◽  
Hyperchaotic Systems

This paper designs a procedure for investigating the hybrid projective synchronization (HPS) scheme between two identical 4-D hyperchaotic systems. Based on Lyapunov stability theory (LST), an adaptive control technique (ACT) has been designed to achieve the desired HPS scheme. The suggested technique determines globally the asymptotic stability and identification of parameters simultaneously using HPS scheme. It is noted that complete , hybrid and anti-synchronization turns into particular cases of HPS scheme. Numerical simulations are presented to validate the effectivity and feasibleness of the considered technique by using MATLAB. Remarkably, the theoretical and computational outcomes are in complete agreement. Also, the considered HPS scheme is very efficient as it has numerous applications in encryption and secure communication.

LAG FULL STATE HYBRID PROJECTIVE SYNCHRONIZATION IN DIFFERENT FRACTIONAL-ORDER CHAOTIC SYSTEMS

2010 ◽  
Vol 24 (31) ◽  
pp. 6129-6141 ◽  
Author(s):  
YANG TANG ◽  
JIAN-AN FANG ◽  
LIANG CHEN
Keyword(s):  
Control Theory ◽  
Numerical Simulations ◽  
Active Control ◽  
Fractional Order ◽  
Chaotic Systems ◽  
Projective Synchronization ◽  
Full State ◽  
Hybrid Projective Synchronization

In this paper, lag full state hybrid projective synchronization (LFSHPS) in fractional-order chaotic systems is first studied. We show that LFSHPS does exist in fractional-order chaotic systems. Based on active control theory, synchronization schemes for LFSHPS of the fractional-order chaotic systems are given. Numerical simulations are provided to illustrate and verify the effectiveness of the proposed methods.

Controlling Chaos in a Newly Designed Chaotic Hamiltonian System Based on Hénon-Heiles Model using Active Controlled Hybrid Projective Synchronization

2021 ◽  
Vol 13 (2) ◽  
pp. 415-421
Author(s):  
T. Khan ◽  
A. Khan ◽  
H. Chaudhary
Keyword(s):  
Active Control ◽  
Secure Communication ◽  
Control Method ◽  
Lyapunov Stability Theory ◽  
Projective Synchronization ◽  
Control Law ◽  
Matlab Toolbox ◽  
Efficiency And Effectiveness ◽  
Hybrid Projective Synchronization ◽  
Active Control Method

In this paper, a systematic approach is designed for investigating the hybrid projective synchronization (HPS) in identical chaotic Hamiltonian systems based on Hénon-Heiles Model by using active control method (ACM). Initially, an active control law is described to achieve asymptotic stability of state vectors of given system using Lyapunov stability theory (LST). Additionally, numerical simulations utilizing MATLAB toolbox are presented to validate the efficiency and effectiveness of the designed approach. Furthermore, the proposed strategy has numerous applications in encryption and secure communication. 

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