Controlling chaos in the modified oscillator with inertial nonlinearity

1995 ◽  
Vol 42 (6) ◽  
pp. 366-368 ◽  
Author(s):  
V.V. Astakhov ◽  
V.S. Anishschenko ◽  
G.I. Strelkova
Keyword(s):  
Controlling Chaos ◽  
Inertial Nonlinearity

Controlling chaos by periodic proportional pulses

1997 ◽  
Vol 234 (3) ◽  
pp. 193-197 ◽  
Author(s):  
Nguyen Phong Chau
Keyword(s):  
Controlling Chaos

On Controlling Chaos in an Inflation–Unemployment Dynamical System

1999 ◽  
Vol 10 (9) ◽  
pp. 1567-1570 ◽  
Author(s):  
E. Ahmed ◽  
H ◽  
A. El-misiery ◽  
H.N. Agiza
Keyword(s):  
Dynamical System ◽  
Controlling Chaos

A simple method for controlling chaos

1998 ◽  
Vol 66 (8) ◽  
pp. 730-735 ◽  
Author(s):  
Cathal Flynn ◽  
Niall Wilson
Keyword(s):  
Simple Method ◽  
Controlling Chaos

Chaos Control for a Fractional-Order Jerk System via Time Delay Feedback Controller and Mixed Controller

2021 ◽  
Vol 5 (4) ◽  
pp. 257
Author(s):  
Changjin Xu ◽  
Maoxin Liao ◽  
Peiluan Li ◽  
Lingyun Yao ◽  
Qiwen Qin ◽  
...  
Keyword(s):  
Time Delay ◽  
Fractional Order ◽  
Chaos Control ◽  
Chaotic Behavior ◽  
Control Strategies ◽  
Feedback Controller ◽  
Research Approach ◽  
Controlling Chaos ◽  
The Stability ◽  
Jerk System

In this study, we propose a novel fractional-order Jerk system. Experiments show that, under some suitable parameters, the fractional-order Jerk system displays a chaotic phenomenon. In order to suppress the chaotic behavior of the fractional-order Jerk system, we design two control strategies. Firstly, we design an appropriate time delay feedback controller to suppress the chaos of the fractional-order Jerk system. The delay-independent stability and bifurcation conditions are established. Secondly, we design a suitable mixed controller, which includes a time delay feedback controller and a fractional-order PDσ controller, to eliminate the chaos of the fractional-order Jerk system. The sufficient condition ensuring the stability and the creation of Hopf bifurcation for the fractional-order controlled Jerk system is derived. Finally, computer simulations are executed to verify the feasibility of the designed controllers. The derived results of this study are absolutely new and possess potential application value in controlling chaos in physics. Moreover, the research approach also enriches the chaos control theory of fractional-order dynamical system.

Experimental Techniques for Controlling Chaos in Lasers

1998 ◽  
Vol 08 (09) ◽  
pp. 1759-1768 ◽  
Author(s):  
R. Meucci ◽  
A. Labate ◽  
M. Ciofini
Keyword(s):  
Power Spectrum ◽  
Chaotic Dynamics ◽  
Feedback Loop ◽  
Control Parameter ◽  
Experimental Techniques ◽  
Controlling Chaos ◽  
Sinusoidal Modulation ◽  
Control Schemes ◽  
Frequency Components

This paper presents two control schemes for the chaotic dynamics of CO 2 laser with feedback which can be applied after the recognition of a leading frequency of the motion in the power spectrum. The first one is realized by means of a selective feedback loop which rejects all the frequency components except that of the leading cycle to be stabilized. The second one consists in a resonant sinusoidal modulation of the control parameter.

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