Shape memory oscillators are thermomechanical hysteretic systems that, in a wide range of model parameters, can exhibit complex non-periodic non-linear dynamic responses under the excitation of a periodic force. In this study, 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 asymptotically 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.
Identification of regular and chaotic isothermal trajectories of a shape memory oscillator using the 0-1 test / Bernardini, Davide; Rega, Giuseppe; G., Litak; A., Syta. - In: PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS. PROCEEDINGS PART K, JOURNAL OF MULTI-BODY DYNAMICS. - ISSN 1464-4193. - STAMPA. - 227:1(2013), pp. 17-22. [10.1177/1464419312447498]
Identification of regular and chaotic isothermal trajectories of a shape memory oscillator using the 0-1 test
BERNARDINI, Davide;REGA, GIUSEPPE;
2013
Abstract
Shape memory oscillators are thermomechanical hysteretic systems that, in a wide range of model parameters, can exhibit complex non-periodic non-linear dynamic responses under the excitation of a periodic force. In this study, 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 asymptotically 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.