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• W2949795854 abstract "Consider a fast-slow system of ordinary differential equations of the form $dot x=a(x,y)+varepsilon^{-1}b(x,y)$, $dot y=varepsilon^{-2}g(y)$, where it is assumed that $b$ averages to zero under the fast flow generated by $g$. We give conditions under which solutions $x$ to the slow equations converge weakly to an Ito diffusion $X$ as $varepsilonto0$. The drift and diffusion coefficients of the limiting stochastic differential equation satisfied by $X$ are given explicitly. Our theory applies when the fast flow is Anosov or Axiom A, as well as to a large class of nonuniformly hyperbolic fast flows (including the one defined by the well-known Lorenz equations), and our main results do not require any mixing assumptions on the fast flow." @default.
• W2949795854 created "2019-06-27" @default.
• W2949795854 creator A5005540337 @default.
• W2949795854 creator A5035519822 @default.
• W2949795854 date "2014-09-19" @default.
• W2949795854 modified "2023-10-01" @default.
• W2949795854 title "Deterministic homogenization for fast-slow systems with chaotic noise" @default.
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• W2949795854 hasPublicationYear "2014" @default.
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