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Dresden 2011 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 41: Brownian Motion, Stochastic Processes, Transport II

DY 41.10: Talk

Friday, March 18, 2011, 12:45–13:00, HÜL 186

Modeling non-Gaussian 1/f noise using stochastic differential equations and by sequences of stochastic pulses — •Bronislovas Kaulakys, Miglius Alaburda, and Julius Ruseckas — Institute of Theoretical Physics and Astronomy, Vilnius University, A. Gostauto 12, LT-01108 Vilnius, Lithuania

We present and analyze models of 1/f noise, which can be relevant for the understanding of the origin, main properties and parameter dependencies of the flicker noise. Signals represented as sequences of the random pulses [1] and models based on the stochastic differential equation with different relaxation rates [2, 3] are analyzed. The models generate signals with the Gaussian and non-Gaussian power-law distributions and 1/fβ power spectrum.

[1] J. Ruseckas, B. Kaulakys and M. Alaburda, Lith. J. Phys. 43, 223 (2003); arXiv:0812.4674.

[2] B. Kaulakys, V. Gontis, and M. Alaburda, Phys. Rev. E 71, 051105 (2005).

[3] B. Kaulakys, M. Alaburda and J. Ruseckas, AIP Conf. Proc. 922, 439 (2007); arXiv:1001.2635v1.

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