Controlling chaos in a chemical oscillator

1994 ◽  
Author(s):  
Alexander Scheeline ◽  
Alfred Hubler
Keyword(s):  
Controlling Chaos ◽  
Chemical Oscillator

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

Explicit internal signal stochastic resonance in a chemical oscillator

2006 ◽  
Vol 172 (2) ◽  
pp. 1188-1194
Author(s):  
WeiGuo Xu ◽  
DaiPing Hu ◽  
HuiZhang Shen ◽  
Mengyu Li
Keyword(s):  
Stochastic Resonance ◽  
Internal Signal ◽  
Chemical Oscillator

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.

A new chemical oscillator containing neither metal nor oxyhalogen ions

Nature ◽  
1984 ◽  
Vol 307 (5953) ◽  
pp. 720-721 ◽  
Author(s):  
Maria Burger ◽  
Richard J. Field
Keyword(s):  
Chemical Oscillator
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