Nonlinear stochastic models of 1/f noise and power-law distributions
Kaulakys, Bronislovas ; Ruseckas, Julius ; Gontis, Vygintas ; Alaburda, Miglius
arXiv, 0509626 / Harvested from arXiv
Text on arXiv
Starting from the developed generalized point process model of $1/f$ noise (B. Kaulakys et al, Phys. Rev. E 71 (2005) 051105; cond-mat/0504025) we derive the nonlinear stochastic differential equations for the signal exhibiting 1/f^{\beta}$ noise and $1/x^{\lambda}$ distribution density of the signal intensity with different values of $\beta$ and $\lambda$. The processes with $1/f^{\beta}$ are demonstrated by the numerical solution of the derived equations with the appropriate restriction of the diffusion of the signal in some finite interval. The proposed consideration may be used for modeling and analysis of stochastic processes in different systems with the power-law distributions, long-range memory or with the elements of self-organization.
Publié le : 2005-09-24
Classification:  Condensed Matter - Statistical Mechanics,  Mathematical Physics,  Mathematics - Probability,  Nonlinear Sciences - Adaptation and Self-Organizing Systems 
@article{0509626,
     author = {Kaulakys, Bronislovas and Ruseckas, Julius and Gontis, Vygintas and Alaburda, Miglius},
     title = {Nonlinear stochastic models of 1/f noise and power-law distributions},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0509626}
}

Kaulakys, Bronislovas; Ruseckas, Julius; Gontis, Vygintas; Alaburda, Miglius. Nonlinear stochastic models of 1/f noise and power-law distributions. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0509626/