scholarly journals Bifurcation Control and Universal Unfolding for Hopf-Zero Singularities with Leading Solenoidal Terms

2016 ◽  
Vol 15 (2) ◽  
pp. 870-903 ◽  
Author(s):  
Majid Gazor ◽  
Nasrin Sadri
Keyword(s):  
Bifurcation Control ◽  
Universal Unfolding

Universal unfolding of symmetric resonances

2014 ◽  
Vol 119 (3-4) ◽  
pp. 357-368 ◽  
Author(s):  
Antonella Marchesiello ◽  
Giuseppe Pucacco
Keyword(s):  
Universal Unfolding

scholarly journals Bifurcation control of Fitzhugh-Nagumo models

2018 ◽  
Vol 22 (Özel) ◽  
pp. 375 ◽  
Author(s):  
Reşat Özgür DORUK ◽  
Hamza IHNISH
Keyword(s):  
Bifurcation Control

scholarly journals Hopf Bifurcation Control in a Lorenz Type System

2018 ◽  
Vol 06 (08) ◽  
pp. 1704-1719
Author(s):  
P. E. Calderon-Saavedra ◽  
E. Munoz-Aguirre ◽  
J. Alvarez-Mena ◽  
S. Gomez-Perez
Keyword(s):  
Hopf Bifurcation ◽  
Type System ◽  
Bifurcation Control

scholarly journals Research on Principal Resonance Bifurcation Control of Roller System in Corrugated Rolling Mills

2020 ◽  
Vol 56 (7) ◽  
pp. 109
Author(s):  
HE Dongping ◽  
WANG Tao ◽  
XIE Jiaquan ◽  
REN Zhongkai ◽  
LIU Yuanming ◽  
...  
Keyword(s):  
Bifurcation Control ◽  
Principal Resonance ◽  
Rolling Mills ◽  
Roller System ◽  
Resonance Bifurcation

DYNAMICS AND DOUBLE HOPF BIFURCATIONS OF THE ROSE–HINDMARSH MODEL WITH TIME DELAY

2009 ◽  
Vol 19 (11) ◽  
pp. 3733-3751 ◽  
Author(s):  
SUQI MA ◽  
ZHAOSHENG FENG ◽  
QISHAI LU
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Center Manifold ◽  
Hopf Bifurcations ◽  
Value Of Time ◽  
Asymptotically Stable ◽  
Universal Unfolding ◽  
Double Hopf Bifurcation ◽  
Bifurcation Points ◽  
The Rose

In this paper, we are concerned with the Rose–Hindmarsh model with time delay. By applying the generalized Sturm criterion, a number of imaginary roots of the characteristic equation are classified. The absolutely stable regions for any value of time delay are detected. By the continuous software DDE-Biftool, both the Hopf bifurcation curves and double Hopf bifurcation points are illustrated in parametric spaces. The normal form and universal unfolding at double Hopf bifurcation points are considered by the center manifold method. Some examples also indicate that the corresponding unique attractor near each double Hopf point is asymptotically stable.

Bifurcation Control in Feedback Systems

2004 ◽  
pp. 205-228 ◽  
Author(s):  
Diego M. Alonso ◽  
Daniel W. Berns ◽  
Eduardo E. Paolini ◽  
Jorge L. Moiola
Keyword(s):  
Bifurcation Control ◽  
Feedback Systems
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