Application of bifurcation theory to nerve excitations

1981 ◽  
Vol 64 (9) ◽  
pp. 1-10
Author(s):  
Kiyoshi Toko ◽  
Junsaku Nitta ◽  
Ki-Ichi Urahama ◽  
Kaoru Yamafuji
Keyword(s):  
Bifurcation Theory

Principles for the application of bifurcation theory for the systematic analysis of nuclear reactor stability, Part1: Theory

2019 ◽  
Vol 115 ◽  
pp. 231-249
Author(s):  
Dieter Hennig ◽  
Carsten Lange ◽  
Rizwan-uddin ◽  
Abdelhamid Dokhane ◽  
Alexander Knospe
Keyword(s):  
Bifurcation Theory ◽  
Nuclear Reactor ◽  
Systematic Analysis ◽  
Reactor Stability

Analysis of mechanical dynamometer based on bifurcation theory

2008 ◽  
Author(s):  
Yi-hui Cui ◽  
Zhi-an Yang ◽  
Chao Yun ◽  
Gao-feng Li ◽  
Xue-gang Sun
Keyword(s):  
Bifurcation Theory

Application of Bifurcation Theory to Axial Flow Compressor Instability

1989 ◽  
Vol 111 (4) ◽  
pp. 426-433 ◽  
Author(s):  
F. E. McCaughan
Keyword(s):  
Parameter Space ◽  
Bifurcation Theory ◽  
Qualitative Difference ◽  
Axial Flow ◽  
Complete Information ◽  
Rotating Stall ◽  
Numerical Work ◽  
System Parameters ◽  
Parametric Effects ◽  
Flow Compressor

When a compression system becomes unstable, the mode of response depends on the operating and system parameters, such as throttle setting and B parameter. Previous numerical work on the model developed by Moore and Greitzer has provided a limited picture of the parametric effects. Applying bifurcation theory to a single-harmonic version of the model has supplied much more complete information, defining the boundaries of each mode of response in the parameter space. Specifically this is shown in a plot of B versus throttle setting, which compares well with the corresponding map produced experimentally. We stress the importance of the shape of the rotating stall characteristic. The analysis shows the qualitative difference between classic surge and deep surge.

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