SINGULARITY THEORY APPROACH TO SWEPT VOLUMES

2000 ◽  
Vol 06 (01) ◽  
pp. 105-129 ◽  
Author(s):  
DENIS BLACKMORE ◽  
ROMAN SAMULYAK ◽  
MING C. LEU
Keyword(s):  
Singularity Theory ◽  
Theory Approach ◽  
Swept Volumes

RESONANCE CONTROL FOR A FORCED SINGLE-DEGREE-OF-FREEDOM NONLINEAR SYSTEM

2004 ◽  
Vol 14 (04) ◽  
pp. 1423-1429 ◽  
Author(s):  
ANDREW Y. T. LEUNG ◽  
JIN CHEN JI ◽  
GUANRONG CHEN
Keyword(s):  
Feedback Control ◽  
Nonlinear System ◽  
Singularity Theory ◽  
Degree Of Freedom ◽  
Theory Approach ◽  
Nonlinear Feedback ◽  
Single Degree Of Freedom ◽  
Weakly Nonlinear ◽  
Single Degree ◽  
Resonance Control

The main characteristic of a forced single-degree-of-freedom weakly nonlinear system is determined by its primary, super- and sub-harmonic resonances. A nonlinear parametric feedback control is proposed to modify the steady-state resonance responses, thus to reduce the amplitude of the response and to eliminate the saddle-node bifurcations that take place in the resonance responses. The nonlinear gain of the feedback control is determined by analyzing the bifurcation diagrams associated with the corresponding frequency-response equation, from the singularity theory approach. It is shown by illustrative examples that the proposed nonlinear feedback is effective for controlling three kinds of resonance responses.

scholarly journals The Inverted Pendulum: A Singularity Theory Approach

1999 ◽  
Vol 157 (1) ◽  
pp. 120-149 ◽  
Author(s):  
H.W. Broer ◽  
I. Hoveijn ◽  
M. van Noort ◽  
G. Vegter
Keyword(s):  
Inverted Pendulum ◽  
Singularity Theory ◽  
Theory Approach

Singularity theory approach to ideal binary distillation

AIChE Journal ◽  
1999 ◽  
Vol 45 (12) ◽  
pp. 2662-2666 ◽  
Author(s):  
Costin S. Bildea ◽  
Alexandre C. Dimian
Keyword(s):  
Singularity Theory ◽  
Theory Approach

Singularity Theory Approach for Calculating the Runaway Boundaries of Heterogeneous Reactor Models

1997 ◽  
Vol 36 (8) ◽  
pp. 3230-3241 ◽  
Author(s):  
Vaishali K. Patil ◽  
Sudhakar Subramanian ◽  
Vemuri Balakotaiah
Keyword(s):  
Singularity Theory ◽  
Theory Approach ◽  
Heterogeneous Reactor ◽  
Reactor Models

scholarly journals The geometry of resonance tongues: a singularity theory approach

Nonlinearity ◽  
2003 ◽  
Vol 16 (4) ◽  
pp. 1511-1538 ◽  
Author(s):  
Henk W Broer ◽  
Martin Golubitsky ◽  
Gert Vegter
Keyword(s):  
Singularity Theory ◽  
Theory Approach
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