scholarly journals Correlation based frequency estimation in the presence of multiplicative noise and additive colored noise

2007 ◽  
Author(s):  
Zhi Wang
Keyword(s):  
Colored Noise ◽  
Multiplicative Noise ◽  
Frequency Estimation

scholarly journals NONMONOTONIC PATTERN FORMATION IN THREE SPECIES LOTKA–VOLTERRA SYSTEM WITH COLORED NOISE

2005 ◽  
Vol 05 (02) ◽  
pp. L305-L311 ◽  
Author(s):  
A. FIASCONARO ◽  
D. VALENTI ◽  
B. SPAGNOLO
Keyword(s):  
Pattern Formation ◽  
Noise Intensity ◽  
Colored Noise ◽  
Multiplicative Noise ◽  
Volterra Equations ◽  
Volterra System ◽  
Spatiotemporal Evolution ◽  
Species Concentration ◽  
Interacting Species ◽  
Nonmonotonic Behavior

A coupled map lattice of generalized Lotka–Volterra equations in the presence of colored multiplicative noise is used to analyze the spatiotemporal evolution of three interacting species: one predator and two preys symmetrically competing each other. The correlation of the species concentration over the grid as a function of time and of the noise intensity is investigated. The presence of noise induces pattern formation, whose dimensions show a nonmonotonic behavior as a function of the noise intensity. The colored noise induces a greater dimension of the patterns with respect to the white noise case and a shift of the maximum of its area towards higher values of the noise intensity.

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