Identification of regular and chaotic isothermal trajectories of a shape memory oscillator using the 0–1 test

Davide Bernardini, Giuseppe Rega, Grzegorz Litak, Arkadiusz Syta
2012 Proceedings of the Institution of mechanical engineers. Proceedings part K, journal of multi-body dynamics  
Shape memory oscillators are thermomechanical hysteretic systems that, in a wide range of model parameters, can exhibit complex non-periodic nonlinear dynamic responses under the excitation of a periodic force. In this work the statistical 0-1 test based on the asymptotic properties of a Brownian motion chain is applied to periodic and non-periodic isothermal trajectories, to examine the type of motion. The analysis is based on the computation of the control parameter K that approaches
more » ... cally 0 or 1 for regular and chaotic motions, respectively. The presented approach is independent of the integration procedure, being based on the characteristic sampling distance between the points of the analysed time series. The numerical results show that the test is able to unambiguously distinguish periodic from chaotic trajectories.
doi:10.1177/1464419312447498 fatcat:ljnuf4vjufcnnkrjlakfus7rcq