scholarly journals Analytical treatment of the delayed feedback controlled Lorenz system close to a subcritical Hopf bifurcation

2008 ◽  
Vol 48 (1) ◽  
pp. 5-16
Author(s):  
V. Pyragas
Keyword(s):  
Hopf Bifurcation ◽  
Lorenz System ◽  
Delayed Feedback ◽  
Analytical Treatment ◽  
Subcritical Hopf Bifurcation

A General Formula for Controlling Hopf Bifurcation

2002 ◽  
Author(s):  
Pei Yu
Keyword(s):  
Hopf Bifurcation ◽  
General Formula ◽  
State Feedback ◽  
Lorenz System ◽  
Subcritical Hopf Bifurcation ◽  
The Lorenz System

An explicit general formula is proposed for controlling Hopf bifurcation using state feedback. This method can be used to either delay (or even eliminate) an existing Hopf bifurcation or change a subcritical Hopf bifurcation to supercritical. The Lorenz system is used to illustrate the application of the formula.

Subcritical Hopf bifurcation in NeNd hollow cathode discharge

1994 ◽  
Vol 196 (3-4) ◽  
pp. 191-194 ◽  
Author(s):  
P.R. Sasi Kumar ◽  
V.P.N. Nampoori ◽  
C.P.G. Vallabhan
Keyword(s):  
Hopf Bifurcation ◽  
Hollow Cathode ◽  
Hollow Cathode Discharge ◽  
Subcritical Hopf Bifurcation
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