scholarly journals An Innovative Way to Generate Hamiltonian Energy of a New Hyperchaotic Complex Nonlinear Model and Its Control

Complexity ◽  
2020 ◽  
Vol 2020 ◽  
pp. 1-10
Author(s):  
Kholod M. Abualnaja
Keyword(s):  
Fixed Point ◽  
Active Control ◽  
Nonlinear Model ◽  
Control Method ◽  
Complex Variables ◽  
Bifurcation Diagrams ◽  
Lyapunov Dimension ◽  
Innovative Method ◽  
Modern System ◽  
Active Control Method

We are implementing a new Rabinovich hyperchaotic structure with complex variables in this research. This modern system is a real, autonomous hyperchaotic, and 8-dimensional continuous structure. Some of the characteristics of this system, as well as for invariance, dissipation, balance, and stability, are technically analyzed. Some other properties are also studied numerically, such as Lyapunov exponents, Lyapunov dimension, bifurcation diagrams, and chaotic actions. Hamiltonian energy is being studied and applying by using the innovative method. Via active control method, we inhibit our system’s hyperchaotic behavior. The new system’s hyperchaotic solutions are transformed into its unstable, trivial fixed point. The validity of the findings obtained is illustrated by an example of numerics and reenactment. Numerical results are plotted to display the variables of the state after and before the control to demonstrate that the control is being achieved.

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

2018 ◽  
Vol 15 (7) ◽  
pp. 075101 ◽  
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

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

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.

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

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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