scholarly journals Chaos Control and Anticontrol of the Output Duopoly Competing Evolution Model

2017 ◽  
Vol 2017 ◽  
pp. 1-13 ◽  
Author(s):  
Zhaoqing Li ◽  
Yongping Zhang ◽  
Tongqian Zhang
Keyword(s):  
Social Development ◽  
Chaotic System ◽  
Chaos Control ◽  
Passive Control ◽  
Control Method ◽  
Evolution Model ◽  
Control Methods ◽  
Passive System ◽  
Optimal Function

In the process of social development, there are a lot of competitions and confrontations. Participants in these competitions and confrontations always have different interests and goals. In order to achieve their goals, the participants must consider the opponent’s strategy to adjust their own strategies to achieve the interests of the optimization. This is called game. Based on the definition and its stability of the passive system, the passive control items are designed to the output of the duopoly competition evolution model, and the efficacy of the control methods is shown by the Lyapunov indexes. Then, the optimal function control method is taken to carry on the chaotic anticontrol to the chaotic system, and the Lyapunov indexes illustrate the control result. At last, the chaotic game of the system is introduced by combining the chaos control and anticontrol.

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.

scholarly journals A New Chaotic System with Line of Equilibria: Dynamics, Passive Control and Circuit Design

2019 ◽  
Vol 9 (4) ◽  
pp. 2336 ◽  
Author(s):  
Aceng Sambas ◽  
Mustafa Mamat ◽  
Ayman Ali Arafa ◽  
Gamal M Mahmoud ◽  
Mohamad Afendee Mohamed ◽  
...  
Keyword(s):  
Circuit Design ◽  
Chaotic System ◽  
Passive Control ◽  
Electronic Circuit ◽  
Control Method ◽  
Phase Portraits ◽  
New Chaotic System ◽  
Quadratic Nonlinearities ◽  
Line Of Equilibria ◽  
Line Equilibrium

<p>A new chaotic system with line equilibrium is introduced in this paper. This system consists of five terms with two transcendental nonlinearities and two quadratic nonlinearities. Various tools of dynamical system such as phase portraits, Lyapunov exponents, Kaplan-Yorke dimension, bifurcation diagram and Poincarè map are used. It is interesting that this system has a line of fixed points and can display chaotic attractors. Next, this paper discusses control using passive control method. One example is given to insure the theoretical analysis. Finally, for the  new chaotic system, An electronic circuit for realizing the chaotic system has been implemented. The numerical simulation by using MATLAB 2010 and implementation of circuit simulations by using MultiSIM 10.0 have been performed in this study.</p>

Combination of Improved OGY and Guiding Orbit Method for Chaos Control

2019 ◽  
Vol 23 (5) ◽  
pp. 847-855 ◽  
Author(s):  
Lingzhi Yi ◽  
Yue Liu ◽  
Wenxin Yu ◽  
◽  
◽  
...  
Keyword(s):  
Chaotic System ◽  
Chaos Control ◽  
Chaotic Systems ◽  
Control Method ◽  
Search Algorithm ◽  
Cuckoo Search ◽  
Cuckoo Search Algorithm ◽  
Convergence Speed ◽  
Orbit Method ◽  
Modified Method

Chaotic systems have gathered much attention. When the OGY method is applied to control a chaotic system, chaos can be contained and target signals can be traced with satisfactory accuracy. However, the traditional control method have a low convergence speed, which may hamper the performance of the whole system. To solve this problem, the cuckoo search algorithm is used to guide the orbits of chaotic systems. Moreover, the OGY method is improved so that a chaotic system can be stabilized for different target points. Finally, the effectiveness of the proposed method is verified through several typical chaotic systems. The simulation results indicate that the modified method has a faster convergence speed and yields better performance than the traditional OGY control method.

scholarly journals Effects of Active and Passive Control Techniques on Mach 1.5 Cavity Flow Dynamics

2017 ◽  
Vol 2017 ◽  
pp. 1-24
Author(s):  
Selin Aradag ◽  
Kubra Asena Gelisli ◽  
Elcin Ceren Yaldir
Keyword(s):  
Passive Control ◽  
Control Method ◽  
Pressure Fluctuations ◽  
Leading Edge ◽  
Cavity Flow ◽  
Flow Dynamics ◽  
Cover Plate ◽  
Control Methods ◽  
Trailing Edge ◽  
Control Techniques

Supersonic flow over cavities has been of interest since 1960s because cavities represent the bomb bays of aircraft. The flow is transient, turbulent, and complicated. Pressure fluctuations inside the cavity can impede successful weapon release. The objective of this study is to use active and passive control methods on supersonic cavity flow numerically to decrease or eliminate pressure oscillations. Jet blowing at several locations on the front and aft walls of the cavity configuration is used as an active control method. Several techniques are used for passive control including using a cover plate to separate the flow dynamics inside and outside of the cavity, trailing edge wall modifications, such as inclination of the trailing edge, and providing curvature to the trailing edge wall. The results of active and passive control techniques are compared with the baseline case in terms of pressure fluctuations, sound pressure levels at the leading edge, trailing edge walls, and cavity floor and in terms of formation of the flow structures and the results are presented. It is observed from the results that modification of the trailing edge wall is the most effective of the control methods tested leading to up to 40 dB reductions in cavity tones.

PASSIVE CONTROL OF HYPERCHAOTIC LORENZ SYSTEM AND CIRCUIT EXPERIMENTAL ON EWB

2007 ◽  
Vol 21 (17) ◽  
pp. 3053-3064 ◽  
Author(s):  
FA-QIANG WANG ◽  
CHONG-XIN LIU
Keyword(s):  
State Feedback ◽  
Passive Control ◽  
Lorenz System ◽  
Control Method ◽  
Equilibrium Points ◽  
Minimum Phase ◽  
Passive System ◽  
Hyperchaotic Lorenz System ◽  
Hyperchaos Control ◽  
Smooth State

Based on the property of a passive system, the essential conditions under which a hyperchaotic Lorenz system could be equivalent to a passive system via smooth state feedback are derived, making the minimum phase hyperchaotic Lorenz system globally asymptotically stabilized at zero and at any desired equilibrium points. The results of simulation on Matlab and the circuit experiment on EWB confirm the effectiveness of the proposed hyperchaos control method.

Chaos Control for a 4D Hyperchaotic System

2013 ◽  
Vol 418 ◽  
pp. 84-87
Author(s):  
Chang Jin Xu ◽  
Pei Luan Li
Keyword(s):  
Feedback Control ◽  
Numerical Simulations ◽  
Chaotic System ◽  
Chaos Control ◽  
Control Strategies ◽  
Nonlinear Function ◽  
Hyperchaotic System ◽  
Control Methods ◽  
Stability Criteria ◽  
The Stability

In this paper, a four-dimensional (4D) autonomous hyperchaotic system is dealt with. The stability criteria of equilibria of the controlled hyperchaotic chaotic system are established. Using the dislocated feedback control, enhancing feedback control, and nonlinear function feedback control methods, the chaos of the 4D hyperchaotic system can be suppressed to unstable equilibrium. Some numerical simulations revealing the effectiveness of our control strategies are given..

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.

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