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

Analysis of the Debye-Smoluchowski equation. Approximations for high-permittivity solvents

1984 ◽  
Vol 88 (18) ◽  
pp. 4171-4176 ◽  
Author(s):  
Peter Clifford ◽  
Nicholas J. B. Green ◽  
Michael J. Pilling
Keyword(s):  
Smoluchowski Equation ◽  
High Permittivity

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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