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

ABSTRACT: In this paper we show the first broad experimental confirmation of the basin stability approach. The basin stability is one of the sample-based approach methods for analysis of the complex, multidimensional dynamical systems. We show that investigated method is a reliable tool for the analysis of dynamical systems and we prove that it has a significant advantages which make it appropriate for many applications in which classical analysis methods are difficult to apply. We study theoretically and experimentally the dynamics of a forced double pendulum. We examine the ranges of stability for nine different solutions of the system in a two parameter space, namely the amplitude and the frequency of excitation. We apply the path-following and the extended basin stability methods (Brzeski et al.

SUBMITTER: Brzeski P 

PROVIDER: S-EPMC5522450 | biostudies-literature | 2017 Jul

REPOSITORIES: biostudies-literature