cumulant equations
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On the Domain of Hyperbolicity of the Cumulant Equations

2005 ◽  
Vol 121 (1-2) ◽  
pp. 75-90 ◽  
Author(s):  
S. Seeger ◽  
K. H. Hoffmann
Keyword(s):  
Cumulant Equations

On symbolic derivation of the cumulant equations

2005 ◽  
Vol 168 (3) ◽  
pp. 165-176 ◽  
Author(s):  
Steffen Seeger ◽  
Karl Heinz Hoffmann
Keyword(s):  
Cumulant Equations

BIFURCATIONAL ANALYSIS OF BISTABLE SYSTEM EXCITED BY COLORED NOISE

1992 ◽  
Vol 02 (04) ◽  
pp. 979-982 ◽  
Author(s):  
V.S. ANISHCHENKO ◽  
A.B. NEIMAN
Keyword(s):  
Probability Density ◽  
Colored Noise ◽  
Gaussian Approximation ◽  
The State ◽  
Bistable System ◽  
Two Dimensional ◽  
Hole Formation ◽  
Saddle Node ◽  
Cumulant Analysis ◽  
Cumulant Equations

The appearance of a hole in the two-dimensional probability density of a bistable system excited by colored noise is investigated. To analyze the phenomenon, a cumulant analysis is used. In the Gaussian approximation, it was shown that the hole formation corresponded to the bifurcation “saddle-node-repeller” of the state of equilibrium in the system of cumulant equations.

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