Sample-based approach can outperform the classical dynamical analysis - experimental confirmation of the basin stability method.

作者: P. Brzeski , J. Wojewoda , T. Kapitaniak , J. Kurths , P. Perlikowski

DOI: 10.1038/S41598-017-05015-7

关键词: Space (mathematics)MathematicsAmplitudeSample (statistics)Applied mathematicsStability (probability)Type (model theory)Dynamical systems theoryDynamical systemDouble pendulum

摘要: In this paper we show the first broad experimental confirmation of basin stability approach. The is one sample-based approach methods for analysis complex, multidimensional dynamical systems. We that investigated method a reliable tool systems and prove it has significant advantages which make appropriate many applications in classical are difficult to apply. study theoretically experimentally dynamics forced double pendulum. examine ranges nine different solutions system two parameter space, namely amplitude frequency excitation. apply path-following extended (Brzeski et al., Meccanica 51(11), 2016) verify obtained theoretical results investigations. Comparison presented offers comparable precision analysis. However, much simpler can be used despite type its dimensions. Moreover, some unique applied without precise knowledge values.

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