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Riddled basins of coupled elastic arches
Authors:Matthias Woltering  Mario Markus
Institution:

Max-Planck-Institut für molekulare Physiologie, Postfach 500247, 44202 Dortmund, Germany

Abstract:Riddled basins are shown to occur in a simple mechanical device consisting of masses and springs. Convergence probabilities versus deviations in the initial conditions are quantified by three independent methods, all leading to scale-invariance over many decades. Conditions exist for the occurrence of two-state on-off intermittency involving switching between predictable and unpredictable oscillations.
Keywords:Riddled basins  Chaos  On-off intermittency  Non-linear
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