Nonlinear stochastic differential equations and 1/f noise
Nonlinear stochastic differential equations and 1/f noise
Nonlinear stochastic differential equations and 1/f noise
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Point processes<br />
General case<br />
τ k+1 = τ k + γτ 2µ−1<br />
k<br />
where µ = 5/2 − η, γ = σ 2 (1 − η + ν/2).<br />
+ στ µ k ε k<br />
Used for modeling of the internote interval sequences of the<br />
musical rhythms<br />
D. J. Levitin, P. Chordia, <strong>and</strong> V. Menon, Proc. Natl. Acad. Sci. U.S.A. 109, 3716 (2012).<br />
Julius Ruseckas (Lithuania) <strong>Nonlinear</strong> <strong>stochastic</strong> <strong>differential</strong> <strong>equations</strong> August 28, 2012 26 / 32