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• W2034837097 endingPage "012001" @default.
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• W2034837097 abstract "Chaotic dynamical systems with certain phase space symmetries may exhibit riddled basins of attraction, which can be viewed as extreme fractal structures in the sense that, regardless of how small is the uncertainty in the determination of an initial condition, we cannot decrease the fraction of such points that are certain to converge to a given attractor. We investigate a mechanical system exhibiting riddled basins of attraction: a particle under a two-dimensional potential with friction and time-periodic forcing. The verification of riddling is made by checking its mathematical requirements through computation of finite-time Lyapunov exponents as well as by scaling laws describing the fine structure of basin filaments densely intertwined in phase space." @default.
• W2034837097 created "2016-06-24" @default.
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• W2034837097 date "2010-09-01" @default.
• W2034837097 modified "2023-10-15" @default.
• W2034837097 title "Extreme fractal structures in chaotic mechanical systems: riddled basins of attraction" @default.
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• W2034837097 doi "https://doi.org/10.1088/1742-6596/246/1/012001" @default.
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