Bifurcation in most probable phase portraits for a bistable kinetic model with coupling Gaussian and non-Gaussian noises

2021 ◽  
Vol 42 (12) ◽  
pp. 1759-1770
Author(s):  
Mengjiao Hua ◽  
Yu Wu
Keyword(s):  
Kinetic Model ◽  
Phase Portraits ◽  
Non Gaussian

scholarly journals A Stochastic Pitchfork Bifurcation in Most Probable Phase Portraits

2018 ◽  
Vol 28 (01) ◽  
pp. 1850017 ◽  
Author(s):  
Hui Wang ◽  
Xiaoli Chen ◽  
Jinqiao Duan
Keyword(s):  
Gaussian Noise ◽  
Pitchfork Bifurcation ◽  
Phase Portraits ◽  
Lévy Noise ◽  
Stochastic Bifurcation ◽  
Bifurcation Phenomena ◽  
Pitchfork Bifurcations ◽  
Non Gaussian ◽  
Levy Noise ◽  
Qualitative Changes

We study stochastic bifurcation for a system under multiplicative stable Lévy noise (an important class of non-Gaussian noise), by examining the qualitative changes of equilibrium states with its most probable phase portraits. We have found some peculiar bifurcation phenomena in contrast to the deterministic counterpart: (i) When the non-Gaussianity parameter in Lévy noise varies, there is either one, two or no backward pitchfork type bifurcations; (ii) When a parameter in the vector field varies, there are two or three forward pitchfork bifurcations; (iii) The non-Gaussian Lévy noise clearly leads to fundamentally more complex bifurcation scenarios, since in the special case of Gaussian noise, there is only one pitchfork bifurcation which is reminiscent of the deterministic situation.

STATEMENT OF THE PROBLEM ON SYNTHESIS OF OPTIMAL EVALUATION OF SIGNAL PARAMETERS IN NON-GAUSSIAN NOISE

2012 ◽  
Vol 71 (17) ◽  
pp. 1541-1555
Author(s):  
V. A. Baranov ◽  
S. V. Baranov ◽  
A. V. Nozdrachev ◽  
A. A. Rogov
Keyword(s):  
Gaussian Noise ◽  
Signal Parameters ◽  
Non Gaussian ◽  
Optimal Evaluation

NONPARAMETRIC DECODING OF BLOCK CODES IN CHANNELS WITH NON-GAUSSIAN NOISE

2013 ◽  
Vol 72 (11) ◽  
pp. 1029-1038
Author(s):  
M. Yu. Konyshev ◽  
S. V. Shinakov ◽  
A. V. Pankratov ◽  
S. V. Baranov
Keyword(s):  
Gaussian Noise ◽  
Block Codes ◽  
Non Gaussian

ANALYSIS OF MERIDIAN ESTIMATOR PERFORMANCE FOR NON-GAUSSIAN PDF DATA SAMPLES

2010 ◽  
Vol 69 (8) ◽  
pp. 669-680 ◽  
Author(s):  
D. A. Kurkin ◽  
A. A. Roenko ◽  
V. V. Lukin ◽  
I. Djurovic
Keyword(s):  
Non Gaussian

Non-Gaussian Signals Recognition against a Background of Additive Noises

2007 ◽  
Vol 66 (18) ◽  
pp. 1703-1710
Author(s):  
V. A. Tikhonov ◽  
K. V. Netrebenko
Keyword(s):  
Non Gaussian
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