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- W2340372633 abstract "We consider families of fast-slow skew product maps of the form begin{align*} x_{n+1} = x_n+epsilon a(x_n,y_n,epsilon), quad y_{n+1} = T_epsilon y_n, end{align*} where $T_epsilon$ is a family of nonuniformly expanding maps, and prove averaging and rates of averaging for the slow variables $x$ as $epsilonto0$. Similar results are obtained also for continuous time systems begin{align*} dot x = epsilon a(x,y,epsilon), quad dot y = g_epsilon(y). end{align*} Our results include cases where the family of fast dynamical systems consists of intermittent maps, unimodal maps (along the Collet-Eckmann parameters) and Viana maps." @default.
- W2340372633 created "2016-06-24" @default.
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- W2340372633 date "2015-09-22" @default.
- W2340372633 modified "2023-10-16" @default.
- W2340372633 title "Averaging and rates of averaging for uniform families of deterministic fast-slow skew product systems" @default.
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- W2340372633 doi "https://doi.org/10.48550/arxiv.1509.06772" @default.
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