ALFVÉN COMPLEXITY

2008 ◽  
Vol 18 (06) ◽  
pp. 1697-1703 ◽  
Author(s):  
E. L. REMPEL ◽  
A. C.-L. CHIAN ◽  
D. KOGA ◽  
R. A. MIRANDA ◽  
W. M. SANTANA
Keyword(s):  
Complex System ◽  
Gaussian Noise ◽  
Complex Dynamics ◽  
Alfven Wave ◽  
Basin Boundary ◽  
Derivative Nonlinear Schrödinger Equation ◽  
Fractal Basin Boundary ◽  
Non Gaussian ◽  
Qualitative Changes ◽  
Chaotic Saddle

The complex dynamics of Alfvén waves described by the derivative nonlinear Schrödinger equation is investigated. In a region of the parameters space where multistability is observed, this complex system is driven towards an intermittent regime by the addition of noise. The effects of Gaussian and non-Gaussian noise are compared. In the intermittent regime, the Alfvén wave exhibits random qualitative changes in its dynamics as the result of a competition between three attractors and a chaotic saddle embedded in the fractal basin boundary.

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

Wavelet threshold algorithm analysis under non-Gaussian noise background

2013 ◽  
Vol 32 (9) ◽  
pp. 2445-2447
Author(s):  
Qing-hua LI ◽  
Dalabaev Senbai ◽  
Xin-jian QIU ◽  
Chang LIAO ◽  
Quan-fu SUN
Keyword(s):  
Gaussian Noise ◽  
Algorithm Analysis ◽  
Noise Background ◽  
Threshold Algorithm ◽  
Non Gaussian
Sign in / Sign up

Export Citation Format

Share Document