An investigation on hybrid projective combination difference synchronization scheme between chaotic prey-predator systems via active control method

Unidirectional coupled synchronization of two identical or different chaotic systems has been carefully studied based on the master–slave synchronization scheme, where the synchronous state is that of the master system and cannot be changed after they realized synchronization. In this paper, a general bidirectional synchronization scheme is presented which made the master–slave scheme a special case. It is straightforward to tune the synchronous state by just changing the value of a parameter. Based on the general bidirectional synchronization scheme, active control method is used to tune the synchronous state of two pairs of different chaotic systems: the Lorenz and Chen systems; and then the Lü and Rössler systems.

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High average power coherent femtosecond pulse combining system based on an all fiber active control method

Laser Physics Letters ◽

10.1088/1612-202x/aabd0a ◽

2018 ◽

Vol 15 (7) ◽

pp. 075101 ◽

Cited By ~ 1

Author(s):

H L Yu ◽

Z X Zhang ◽

X L Wang ◽

R T Su ◽

H W Zhang ◽

...

Keyword(s):

Active Control ◽

Femtosecond Pulse ◽

Control Method ◽

Average Power ◽

High Average Power ◽

Active Control Method

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Comparison of Times of Synchronization of Chaotic Burke-Shaw Attractor with Active Control and Integer and Optimum Fractional-Order Pecaro Carroll Method

10.21203/rs.3.rs-263593/v1 ◽

2021 ◽

Author(s):

Ali Durdu ◽

Yılmaz Uyaroğlu

Keyword(s):

Active Control ◽

Fractional Order ◽

Chaotic Attractor ◽

Secure Communication ◽

Chaotic Systems ◽

Control Method ◽

Initial Conditions ◽

Data Communication ◽

Experimental Results ◽

Active Control Method

Abstract Many studies have been introduced in the literature showing that two identical chaotic systems can be synchronized with different initial conditions. Secure data communication applications have also been made using synchronization methods. In the study, synchronization times of two popular synchronization methods are compared, which is an important issue for communication. Among the synchronization methods, active control, integer, and fractional-order Pecaro Carroll (P-C) method was used to synchronize the Burke-Shaw chaotic attractor. The experimental results showed that the P-C method with optimum fractional-order is synchronized in 2.35 times shorter time than the active control method. This shows that the P-C method using fractional-order creates less delay in synchronization and is more convenient to use in secure communication applications.

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Investigating the dynamic characteristics of the hydrostatic bearing spindle system with active piezoelectric restrictors

Journal of Tribology ◽

10.1115/1.4053179 ◽

2021 ◽

pp. 1-20

Author(s):

Yixin Zhang ◽

Wei Pan ◽

Shuo Zhan ◽

Ran Huang ◽

Shujiang Chen ◽

...

Keyword(s):

Active Control ◽

Dynamic Characteristics ◽

Control Method ◽

Spindle System ◽

Optimization And Control ◽

And Control ◽

Pipeline Model ◽

Structural Optimization And Control ◽

Industrial Demand ◽

Active Control Method

Abstract Studies show that active control technology can improve system performance and meet the increasing industrial demand in diverse applications. In the present study, the dynamic characteristics of the bearing-spindle system based on active piezoelectric (PZT) restrictors, including the amplitude-frequency and phase-frequency characteristics are analyzed theoretically and experimentally. In the analysis, the influence of the pipeline model on the system characteristics is studied. Then the feasibility and effectiveness of the active control method are verified through experiments. It is demonstrated that the theoretical and experimental results are consistent. The present study is expected to provide a guideline for further investigations on the structural optimization and control law design for active hydrostatic oil-film bearing spindle systems.

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