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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1/f <strong>noise</strong><br />
Many mathematical models:<br />
Superposition of relaxation processes<br />
S(f ) =<br />
∫ γ2<br />
γ 1<br />
N πN<br />
γ 2 dγ ≈<br />
+ ω2 2ω , γ 1 ≪ ω ≪ γ 2<br />
Dynamical systems at the edge of chaos<br />
x n+1 = x n + x z n mod 1<br />
Alternating fractal renewal process<br />
Self-Organized Criticallity<br />
Julius Ruseckas (Lithuania) <strong>Nonlinear</strong> <strong>stochastic</strong> <strong>differential</strong> <strong>equations</strong> August 28, 2012 6 / 32
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