Efficiency of an approximate filter for a particular class of nonlinear diffusions with observations corrupted by small noise

2002 ◽  
Author(s):  
P. Milheiro-Oliveira ◽  
J. Picard
Keyword(s):  
Small Noise ◽  
Nonlinear Diffusions

scholarly journals Small noise spectral gap asymptotics for a large system of nonlinear diffusions

2017 ◽  
Vol 7 (4) ◽  
pp. 939-984 ◽  
Author(s):  
Giacomo Di Gesù ◽  
Dorian Le Peutrec
Keyword(s):  
Spectral Gap ◽  
Large System ◽  
Small Noise ◽  
Nonlinear Diffusions

Small-noise approximations to the solution of the Smoluchowski equation

1993 ◽  
Vol 47 (2) ◽  
pp. 976-980 ◽  
Author(s):  
Moshe Gitterman ◽  
George H. Weiss
Keyword(s):  
Smoluchowski Equation ◽  
Small Noise

scholarly journals HOW CRUCIAL IS SMALL WORLD CONNECTIVITY FOR DYNAMICS?

2006 ◽  
Vol 16 (09) ◽  
pp. 2767-2775 ◽  
Author(s):  
PRASHANT M. GADE ◽  
SUDESHNA SINHA
Keyword(s):  
Spectral Properties ◽  
Chaotic Systems ◽  
Signal To Noise Ratio ◽  
Dynamical Behavior ◽  
Small World ◽  
High Strength ◽  
Nonlocal Coupling ◽  
Small Noise ◽  
Optimal Value ◽  
Neuronal Systems

We study the dynamical behavior of the collective field of chaotic systems on small world lattices. Coupled neuronal systems as well as coupled logistic maps are investigated. We observe that significant changes in dynamical properties occur only at a reasonably high strength of nonlocal coupling. Further, spectral features, such as signal-to-noise ratio (SNR), change monotonically with respect to the fraction of random rewiring, i.e. there is no optimal value of the rewiring fraction for which spectral properties are most pronounced. We also observe that for small rewiring, results are similar to those obtained by adding small noise.

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