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首页> 外文期刊>Proceedings of the institution of mechanical engineers >Identification of regular and chaotic isothermal trajectories of a shape memory oscillator using the 0-1 test
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Identification of regular and chaotic isothermal trajectories of a shape memory oscillator using the 0-1 test

机译：使用0-1检验识别形状记忆振荡器的规则和混沌等温轨迹

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摘要

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.
机译：形状记忆振荡器是一种热机械滞后系统，在广泛的模型参数中，在周期性力的激励下会表现出复杂的非周期性非线性动态响应。在这项研究中，基于布朗运动链的渐近性质的统计0-1检验应用于周期性和非周期性等温轨迹，以检查运动的类型。该分析基于控制参数K的计算，对于常规运动和混沌运动，控制参数K渐近地接近0或1。所提出的方法独立于积分过程，基于所分析时间序列的点之间的特征采样距离。数值结果表明，该测试能够清楚地区分周期性轨迹和混沌轨迹。

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